tag:blogger.com,1999:blog-25969664414426821522024-02-19T23:24:26.510-08:00Prevencion de riesgoprevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.comBlogger15125tag:blogger.com,1999:blog-2596966441442682152.post-42550680337788919582011-05-09T09:42:00.000-07:002011-05-09T09:42:58.394-07:00tarea Claudia Huerta<div class="O" v:shape="_x0000_s1026"><div style="mso-line-spacing: '85 20 0';"><span lang="ES-TRAD" style="color: #009900; font-family: 'Arial Rounded MT Bold'; font-size: 48pt; mso-ascii-font-family: 'Arial Rounded MT Bold'; mso-hansi-font-family: 'Arial Rounded MT Bold';"><b>Hardware: </b></span></div><div style="mso-line-spacing: '80 50 0';"> <div class="O" style="mso-line-spacing: '80 0 0';" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"><b>Elementos físicos que integran una computadora.</b></span></div><div class="O" style="mso-line-spacing: '80 0 0';" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"><strong></strong></span> </div><div class="O" style="mso-line-spacing: '80 0 0';" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"><span style="color: black; font-size: small;"> </span> <div class="O" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: #009900; font-family: 'Arial Rounded MT Bold'; font-size: 44pt; mso-ascii-font-family: 'Arial Rounded MT Bold'; mso-hansi-font-family: 'Arial Rounded MT Bold';"><b>Software:</b></span></div><div class="O" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: #009900; font-family: 'Arial Rounded MT Bold'; font-size: 44pt; mso-ascii-font-family: 'Arial Rounded MT Bold'; mso-hansi-font-family: 'Arial Rounded MT Bold';"><span style="font-family: Times New Roman;"> </span> <div class="O" v:shape="_x0000_s1026"><div style="mso-line-spacing: '95 0 0';"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"><b>Programas que pueden ser ejecutados </b></span><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"><b>en el hardware de una computadora.</b></span></div><div style="mso-line-spacing: '95 0 0';"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"></span> </div><div style="mso-line-spacing: '95 0 0';"><span lang="ES-TRAD" style="color: #f10000; font-size: 36pt; mso-hansi-font-family: Arial;"></span><span lang="ES-TRAD" style="color: #f10000; font-family: 'Lucida Casual'; font-size: 36pt; mso-ascii-font-family: 'Lucida Casual'; mso-hansi-font-family: 'Lucida Casual';"><strong> </strong> <div class="O" v:shape="_x0000_s1026"><span lang="ES-TRAD" style="color: blue; font-family: 'Arial Rounded MT Bold'; font-size: 50pt; mso-ascii-font-family: 'Arial Rounded MT Bold'; mso-hansi-font-family: 'Arial Rounded MT Bold';"> <div class="O" v:shape="_x0000_s1026"><div style="mso-line-spacing: '115 20 0'; mso-margin-left-alt: 307;"><span style="color: #006600; font-size: 211%;"></span><strong><span lang="ES-TRAD" style="color: #006600; font-size: 38pt; mso-hansi-font-family: Arial;">Byte:</span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;"> Es la cantidad de memoria </span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;">necesaria para almacenar un </span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;">caracter. </span></strong></div><div style="mso-line-spacing: '100 50 0'; mso-margin-left-alt: 307;"> <div class="O" v:shape="_x0000_s1026"><div style="mso-line-spacing: '115 20 0'; mso-margin-left-alt: 307;"><span lang="ES-TRAD" style="color: #006600; font-size: 38pt; mso-hansi-font-family: Arial;"><b>Memoria</b></span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;"><b> de una computadora es la </b></span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;"><b>cantidad de información que puede </b></span><span lang="ES-TRAD" style="color: #cc0000; font-size: 38pt; mso-hansi-font-family: Arial;"><b>almacenar. </b></span></div><div style="mso-line-spacing: '100 50 0'; mso-margin-left-alt: 307;"> </div><div style="mso-line-spacing: '100 50 0'; mso-margin-left-alt: 307;"> </div></div></div><div style="mso-line-spacing: '100 50 0'; mso-margin-left-alt: 307;"> </div></div></span></div></span></div><div style="mso-line-spacing: '100 50 0';"></div></div></span></div></span></div></div></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-48703687674614430102011-05-08T18:46:00.000-07:002011-05-08T18:46:06.322-07:00tarea de computacion<div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">TAREA DE COMPUTACION.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">1:HARDWARE BÁSICO:Dispositivo necesario para iniciar la computadora. Lo mas básico son la placa madre, la fuente de alimentación ,El microprocesadory la memoria.Se podrían incluir<span style="mso-spacerun: yes;"> </span>componentes como monitor y teclado, aunque no son estrictamente basicos.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">HARDWARE COMPLEMENTARIO:Aquellos dispositivos que complementan a la computadora,pero que no son fundamentales para su funcionamiento,como ser impresora,unidades<span style="mso-spacerun: yes;"> </span>de almacenamiento,etc.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Son elementos fisicos que integran una computadora.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><br />
</div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">2:COMPUTADORA:Es un mecanismo electronico que acepta informacion de entrada,la procesa y produce la informacion de salida.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><br />
</div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">3:SOFTWARE:Es un ingrediente indispensable para el funcionamiento del computador.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"><span style="mso-spacerun: yes;"> </span>Esta formado por una serie de instrucciones y datos que permiten aprovechar todos los recursos que el computador tiene.El software le da vida al computador.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">funciones del software:administrar los recursos de computo,proporcionar las herramientas para optimizar estos recursos,actua como intemediario entre el usuario y la informacion.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"><span style="mso-spacerun: yes;"> </span>4:PROCESADOR O CPU:Abreviatura de Central PROCESSSING UNITED (unidad de proceso central),se pronuncia como letras separadas.L a CPU es el cerebro del ordenador.A veces es referido simplemente como el procesador o procesador central,la CPU es donde se producen la mayoria de los calculos.En terminos de potencia del ordenador, la CPU es el elemento mas importante de un sistema informatico.<span style="mso-tab-count: 1;"> </span>Es donde se realiza el procesamiento de datos, la velocidad con que realizan las operaciones se mide en megahertz,se les denomina por las 3 ultimas cifras.<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">5:DISPOSITIVOS DE ENTRADA:Son los que envian información a la unidad de procesamiento,en codigo binario.Dispositivos de entrada(entre otros):Teclado: Un teclado se compone de una serie de teclas agrupadas en funciones que podremos describir.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Teclado alfanumerico:es un conjunto de 62 teclas entre las que se encuentran las letras,numero,simbolos ortograficos,Enter,alt….etc.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; mso-pagination: none; text-autospace: none;"><span lang="es" style="mso-ansi-language: #000A; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Teclado de Funcion:es un conjunto de 13 teclas entre las que se encuentran el ESC, tan utilizado en sistemas informaticos,mas 12 teclas de funcion.Estas teclas suelen serconfigurables pero por ejemplo existe un convenio para asignar la ayuda F1.paola bernal perez<o:p></o:p></span></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-72445424368497441732011-05-08T13:37:00.000-07:002011-05-08T13:37:30.759-07:00tarea de computación<u>PAINT: </u> Programa simple de dibujo gráfico desarrollado por Microsoft.<br />
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<u>POWER POINT:</u> Es un programa diseñado para hacer para hacer presentaciones con texto esquematizado, fácil de entender y animaciones de textos e imágenes prediseñadas o importadas desde imágenes de la computadora.<br />
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<u>EXCEL</u>:<u> </u> Es una aplicación para manejar hojas de cálculos. Este programa es desarrollado y distribuido por microsoft.<br />
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<u>WORD: </u> Es un software destinado al procesamiento de textos. creado por Microsoft.<br />
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<u>IBOOK:</u> Software que descarga, visualiza y gestiona libros electrónicos en el iPhone, iPad.<br />
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ximenaprevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-75728503311044554652011-05-07T21:54:00.000-07:002011-05-07T21:54:19.077-07:00jajajjaj q onda yo solo ise de lo que dio el profe o nada q ver ando mas perdida q se hace??? jajajja lo buenoo q lo intente.. jajajja saludoss nos bemos el lunes...<br />
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Nancy.prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com1tag:blogger.com,1999:blog-2596966441442682152.post-9878308863692641002011-05-07T21:47:00.000-07:002011-05-07T21:47:21.136-07:00La computación<div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-top: 15.84pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: center; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: normal;"><span style="font-family: 'Arial Rounded MT Bold'; font-weight: bold;">1-¿Qué es el </span></span><span class="Apple-style-span" style="line-height: normal;"><span style="font-family: 'Arial Rounded MT Bold'; font-weight: bold;">Hardware</span></span><span class="Apple-style-span" style="line-height: normal;"><span style="font-family: 'Arial Rounded MT Bold'; font-weight: bold;"> y el </span></span><span class="Apple-style-span" style="line-height: normal;"><span style="font-family: 'Arial Rounded MT Bold'; font-weight: bold;">Software</span></span><span class="Apple-style-span" style="line-height: normal;"><span style="font-family: 'Arial Rounded MT Bold'; font-weight: bold;"> de una computadora?</span></span> </span></div><div style="direction: ltr; margin-bottom: 0pt; margin-top: 15.84pt; text-align: center; unicode-bidi: embed; vertical-align: baseline;"></div><div style="color: red; direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 11.52pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #009900; font-family: 'Arial Rounded MT Bold'; font-weight: bold;"> Hardware:</span></div><div style="color: red; direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #f10000; font-family: Arial; font-weight: bold;"> Elementos físicos que integran una computadora</span></div><div style="color: red; direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #f10000; font-family: Arial; font-size: 40.0pt; font-weight: bold; language: es-TRAD; mso-ascii-font-family: Arial; mso-bidi-font-family: +mn-cs; mso-fareast-font-family: +mn-ea;"><br />
</span></div><div style="direction: ltr; line-height: 95%; margin-bottom: 0pt; margin-top: 0pt; text-align: left; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #009900; font-family: 'Arial Rounded MT Bold'; font-weight: bold;"> Software:</span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: #f10000; font-family: Arial;"><b><span class="Apple-style-span" style="color: black; font-family: 'Times New Roman'; font-weight: normal; line-height: 15px;"><span style="color: #f10000; font-family: Arial; font-weight: bold;"> Programas que pueden ser ejecutados en el hardware de una computadora</span></span></b></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: #f10000; font-family: Arial;"><b><span class="Apple-style-span" style="color: black; font-family: 'Times New Roman'; font-weight: normal; line-height: 15px;"><span style="color: #f10000; font-family: Arial; font-weight: bold;"></span><span style="color: #f10000; font-family: "Lucida Casual"; font-size: 36.0pt; font-weight: bold; language: es-TRAD; mso-ascii-font-family: "Lucida Casual"; mso-bidi-font-family: +mn-cs; mso-fareast-font-family: +mn-ea; mso-font-kerning: 12.0pt;"> </span></span> 2-</b></span><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span style="color: red;">¿De qué elementos se compone el </span><span style="color: blue;">Hardware</span><span style="color: red;"> de una </span><span style="color: red;">computadora?</span></span></b></span></div><div style="direction: ltr; line-height: 115%; margin-bottom: 0pt; margin-top: 10.56pt; text-align: left; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #cc0000;"> A- </span><span style="color: #0000cc; font-family: 'Lucida Casual'; font-weight: bold;">Dispositivos de entrada</span></div><div style="direction: ltr; line-height: 115%; margin-bottom: 0pt; margin-top: 10.56pt; text-align: left; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #cc0000;"> B-</span><span style="color: #0000cc; font-family: 'Lucida Casual'; font-weight: bold;"> Dispositivos de salida</span></div><div style="direction: ltr; line-height: 115%; margin-bottom: 0pt; margin-top: 10.56pt; text-align: left; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #cc0000;"> C</span><span style="color: #0000cc; font-family: 'Lucida Casual'; font-weight: bold;"> - Dispositivos de memoria</span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span style="color: red;"><span class="Apple-style-span" style="color: black; font-family: 'Times New Roman'; font-weight: normal; line-height: 18px;"><span style="color: #cc0000;"> D</span><span style="color: #0000cc; font-family: 'Lucida Casual'; font-weight: bold;"> - Procesador</span></span> </span></span></b></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span style="color: red;"> 3- </span></span></b></span><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="font-family: President; font-weight: bold; line-height: 15px;">¿Cuáles son los dispositivos de entrada?</span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="font-family: President; font-weight: bold; line-height: 15px;"></span><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Teclado </span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Lapiz luminoso</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - scanner </span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - mouse</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Joystick</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: #232323; font-family: President; line-height: normal;"> </span><span class="Apple-style-span" style="font-family: President; line-height: normal;"> 4- ¿Cuáles son los dispositivos de salida</span> ? </span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Monitor</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Impresoras</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> - Modem</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: #cc0000; font-family: President; line-height: normal;"> </span><span class="Apple-style-span" style="font-family: President; line-height: normal;"> 5- ¿Cuáles son los dispositivos de memoria?</span></span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="font-family: President; line-height: normal;"></span> </span></b></span></span><span class="Apple-style-span" style="line-height: 15px;"><span style="color: #f10000; font-family: Wingdings;">è</span><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;">RAM</span></span></div><div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-left: 0in; margin-top: 9.6pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;"> </span></div><div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-left: 0in; margin-top: 9.6pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #f10000; font-family: Wingdings;"> è</span><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;">Disco duro o fijo</span></div><div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-left: 0in; margin-top: 9.6pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;"> </span></div><div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-left: 0in; margin-top: 9.6pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #f10000; font-family: Wingdings;"> è</span><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;">Discos flexibles</span></div><div style="direction: ltr; language: es; line-height: 95%; margin-bottom: 0pt; margin-left: 0in; margin-top: 9.6pt; mso-line-break-override: restrictions; punctuation-wrap: simple; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;"> </span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: black; font-family: 'Times New Roman'; font-weight: normal;"><span style="color: #f10000; font-family: Wingdings;"> è</span><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;">CD ROM</span></span></span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><br />
</span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: black; font-family: 'Times New Roman'; font-weight: normal;"><span style="color: #0302d4; font-family: 'Lucida Casual'; font-weight: bold;"></span></span> Nancy Gonzalez Reyes. </span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span" style="color: red;"><span class="Apple-style-span" style="line-height: 15px;"><b><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif;"> </span></b></span></span></div><div style="direction: ltr; line-height: 85%; margin-bottom: 0pt; margin-left: 0in; margin-top: 8.64pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;"><span class="Apple-style-span"><span style="color: #f10000; font-family: Arial; font-weight: bold;"></span></span></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-72344883188658333172011-05-07T18:47:00.000-07:002011-05-07T18:47:12.469-07:00tarea de computacion<div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">1. monitor: El monitor de computadora o pantalla de ordenador, aunque también es común llamarlo «pantalla», es un dispositivo de salida que, mediante una interfaz, muestra los resultados del procesamiento de una computadora.</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">2. procesador: El procesador (CPU, por Central Processing Unit o Unidad Central de Procesamiento), es por decirlo de alguna manera, el cerebro del ordenador. Permite el procesamiento de información numérica, es decir, información ingresada en formato binario, así como la ejecución de instrucciones almacenadas en la memoria.</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">3. memoria ram :RAM son las siglas de random Access memory, un tipo de memoria de ordenador a la que se puede acceder aleatoriamente; es decir, se puede acceder a cualquier byte de memoria sin acceder a los bytes precedentes. La memoria RAM es el tipo de memoria más común en ordenadores y otros dispositivos como impresoras.</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">4. disco duro:En informática, un disco duro o disco rígido (en inglés Hard Disk Drive, HDD) es un dispositivo de almacenamiento de datos no volátil que emplea un sistema de grabación magnética para almacenar datos digitales. Se compone de uno o más platos o discos rígidos, unidos por un mismo eje que gira a gran velocidad dentro de una caja metálica sellada. Sobre cada plato, y en cada una de sus caras, se sitúa un cabezal de lectura/escritura que flota sobre una delgada lámina de aire generada por la rotación de los discos.</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">5. disco flexible 3.5:Un disco duro portátil (o disco duro externo) es un disco duro que es fácilmente transportable de un lado a otro sin necesidad de consumir energía eléctrica o batería.</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><strong><span style="color: #f3f3f3;">Desde que los CD-R y CD-RW se han extendido como almacenamiento barato, se ha cambiado la filosofía de tener el mismo tipo de almacenamiento de disco intercambiables tanto para almacenamiento como para copia de seguridad o almacenamiento definitivo. Antes normalmente eran discos magnéticos o magneto-ópticos. Ahora se tiende a tener el almacenamiento óptico para un uso más definitivo y otro medio sin discos intercambiable para transporte. Este el caso de las memorias USB y los discos duros portátiles</span></strong></span></div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm -65pt 0pt 0cm; mso-layout-grid-align: none; mso-pagination: none; tab-stops: 482.8pt; text-align: center;"><span style="font-family: Arial; mso-bidi-font-family: "Times New Roman";"><span style="color: red; font-family: Verdana, sans-serif; font-size: large;"><strong>Miguel angel cordova cortes</strong></span></span></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-71237374717219553482011-05-06T07:42:00.001-07:002011-05-06T07:42:49.311-07:00MIGBUELpara cuando hay q tener publicada la tareaprevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com1tag:blogger.com,1999:blog-2596966441442682152.post-22684792207608543162011-05-04T16:01:00.000-07:002011-05-04T16:01:36.835-07:00Conceptos Computacionales<u><b><span class="Apple-style-span" style="font-size: large;">Hardware</span></b></u><br />
<u><br />
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<div style="text-align: justify;">1.-<b>El Microprocesador</b> :<span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><b> </b></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">Se monta en la llamada placa base, sobre el zócalo conocido como zocalo de CPU que permite las conexiones eléctricas entre los circuitos de la placa y el procesador. Sobre el procesador ajustado a la placa base se fija un disipador térmico de un material con elevada conductividad térmica que por lo general es de aluminio en algunos casos de cobre éste es indispensable en los microprocesadores que consumen bastante energía,</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> la cual, en gran parte, es emitida en forma de calor.</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><div style="text-align: justify;">2.-<b>La Placa Madre</b> : <span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">También conocida como <b>placa base</b></span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"> o con el anglicismo </span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><i>board</i></span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">,</span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"> es un gran circuito</span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"> impreso</span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"> sobre el que se suelda el chipset</span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">, las ranuras de expansión (slots), los zócalos, conectores, diversos integrados, etc. Es el soporte fundamental que aloja y comunica a todos los demás componentes.</span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><br />
</span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">3.- <b>La Memoria RAM</b> : </span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">La RAM es la memoria utilizada en una computadora para el almacenamiento transitorio y de trabajo (no masivo). En la RAM se almacena temporalmente la información, datos y programas que la Unidad de Procesamiento (CPU) lee, procesa y ejecuta. La memoria RAM es conocida como Memoria principal de la computadora, también como "Central o de Trabajo".</span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><br />
</span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">4.-<b> El Teclado</b>: </span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">En Informática un </span></span><span style="font-family: sans-serif; line-height: 19px;">teclado</span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> es un periférico de entrada o dispositivo, en parte inspirado en el teclado de las maquinas de escribir,</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> que utiliza una disposición de botones o teclas, para que actúen como palancas mecánicas o interruptores electrónicos que envían información a la computadora. Después de las tarjetas perforadas y las cintas de papel, la interacción a través de los teclados al estilo teletipo se convirtió en el principal medio de entrada para las computadoras.</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">5.- </span><b style="line-height: 19px;">Fuente de </b><span class="Apple-style-span" style="line-height: 19px;"><b>Alimentación</b>: </span><span class="Apple-style-span" style="line-height: 19px;">En electrónica, una fuente de alimentación es un dispositivo que convierte la tensión alterna de la red de suministro, en una o varias tensiones, prácticamente continuas</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> que alimentan los distintos circuitos del aparato </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">electrónico </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">al que se conecta (computador, </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">televisor, impresora , router </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">etc.).</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><span class="Apple-style-span" style="font-family: sans-serif; font-size: x-small;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span><br />
<span class="Apple-style-span" style="font-family: sans-serif; font-size: large;"><span class="Apple-style-span" style="line-height: 19px;"><u><b>Software</b></u></span></span><br />
<span class="Apple-style-span" style="font-family: sans-serif; font-size: x-small;"><span class="Apple-style-span" style="line-height: 19px;"><b><u><br />
</u></b></span></span><br />
<div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><b><span class="Apple-style-span" style="font-size: x-small;">1</span>.-</b></span></span><b style="font-family: sans-serif; line-height: 19px;">Adobe Photoshop: </b><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">Es el nombre o marca comercial oficial que recibe uno de los programas más populares de la casa Adobe, junto con sus programas hermanos Adobe illustrator y Adobe Flash, y que se trata esencialmente de una aplicación informática en forma de taller de pintura y fotografía que trabaja sobre un </span></span><i style="font-family: sans-serif; line-height: 19px;">"lienzo"</i><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> y que está destinado para la edición, retoque</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> fotográfico y pintura a base de imagenes de mapas de bits</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">. Su nombre en español significa "taller de Fotos". Su capacidad de retoque y modificación de fotografías le ha dado el rubro de ser el programa de edición de imágenes más famoso del mundo.</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif; font-size: x-small;"><span class="Apple-style-span" style="line-height: 19px;">2.- </span></span><b><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">ESET NOD32 : </span></span></b><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> Es un programa antivirus,</span><span class="Apple-style-span" style="line-height: 19px;"> desarrollado por la empresa ESET,</span><span class="Apple-style-span" style="line-height: 19px;"> de origen eslovaco</span><span class="Apple-style-span" style="line-height: 19px;">. El producto está disponible para Windows, Linux,</span><span class="Apple-style-span" style="line-height: 19px;"> Free BSD,</span><span class="Apple-style-span" style="line-height: 19px;"> Solaris,Novell</span><span class="Apple-style-span" style="line-height: 19px;"> y Mac OSX</span><span class="Apple-style-span" style="line-height: 19px;"> y tiene versiones para estaciones de trabajo, dispositivos móviles ( Windows,Mobile</span><span class="Apple-style-span" style="line-height: 19px;"> y Simbyan</span><span class="Apple-style-span" style="line-height: 19px;">), servidores de archivos, servidores de correo </span><span class="Apple-style-span" style="line-height: 19px;">electrónico</span><span class="Apple-style-span" style="line-height: 19px;"> servidores gateway </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">y una consola de administración remota.</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">3.- </span></span><b style="font-family: sans-serif; line-height: 19px;">Ares Galaxy: </b><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> Es un programa P2P de distribución de archivos creado a mediados de 2002. Es Software libre y está desarrollado en el lenguaje de programación Delphi para el sistema operativo Microsoft Windows</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">. Actualmente se puede usar la red de Ares en GNU/Linux</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> mediante GIFT</span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"> o ejecutando el cliente </span></span><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">oficial bajo Wine.</span></span></div><div style="text-align: justify;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br />
</span></span></div><div><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">4.- </span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><b>Microsoft Word:</b> Es un software destinado al procesamiento de textos.</span><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;">Fue creado por la empresa Microsoft y actualmente viene integrado en la <i>suite</i> ofimática Microsoft Office.</span></div><span class="Apple-style-span" style="font-family: sans-serif; line-height: 19px;"><div style="line-height: 1.5em; margin-bottom: 0.5em; margin-left: 0px; margin-right: 0px; margin-top: 0.4em; text-align: justify;">Originalmente fue desarrollado por Richard Brodie para el computador de IBM bajo sistema operativo DOS, en 1983. Se crearon versiones posteriores para Apple<a class="mw-redirect" href="http://es.wikipedia.org/wiki/Apple_Macintosh" style="background-attachment: initial; background-clip: initial; background-color: initial; background-image: none; background-origin: initial; background-position: initial initial; background-repeat: initial initial; color: #0645ad; text-decoration: none;" title="Apple Macintosh"> </a>Macintosh en 1984 y para Microsoft Windows en 1989, siendo para esta última plataforma las versiones más difundidas en la actualidad. Ha llegado a ser el procesador de texto más popular del mundo.</div><div style="line-height: 1.5em; margin-bottom: 0.5em; margin-left: 0px; margin-right: 0px; margin-top: 0.4em; text-align: justify;"><br />
</div><div style="line-height: 1.5em; margin-bottom: 0.5em; margin-left: 0px; margin-right: 0px; margin-top: 0.4em; text-align: justify;">5.- <b>Microsoft Excel</b>: Es una aplicación para manejar hojas de calculo. Este programa es desarrollado y distribuido por Microsoft y es utilizado normalmente en tareas financieras y contables. </div><div style="font-size: 13px; line-height: 1.5em; margin-bottom: 0.5em; margin-left: 0px; margin-right: 0px; margin-top: 0.4em; text-align: justify;"><br />
</div><div style="line-height: 1.5em; margin-bottom: 0.5em; margin-left: 0px; margin-right: 0px; margin-top: 0.4em; text-align: justify;">Juan Jujihara A.</div></span>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-74662143256505035672011-05-02T20:03:00.000-07:002011-05-02T20:03:10.791-07:00tarea de computacion <span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">Monitor:</span></b><span style="font-size: 12.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>dispositivo de de salida que, mediante un interfaz, muestra los resultados de los procedimientos de una computadora..</span><br />
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 32.2pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">Disco duro:</span></b><span style="font-size: 12.0pt; line-height: 115%;"> es un dispositivo no volátil, que conserva<span style="mso-spacerun: yes;"> </span>la información aun con la pérdida de energía, que emplea un sistema de grabación magnética digital.<o:p></o:p></span></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 32.2pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">Mouse o Ratón</span></b><span style="font-size: 12.0pt; line-height: 115%;">: es un dispositivo apuntador usado para facilitar el manejo de un entorno gráfico en un computador.<o:p></o:p></span></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 32.2pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">4.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">Tarjeta gráfica:</span></b><span style="font-size: 12.0pt; line-height: 115%;"> es una tarjeta de expansión para un computador, encargada de procesar los datos provenientes de la CPU<span style="mso-spacerun: yes;"> </span>y transformándola en información comprensible y representable en un dispositivo de salida.<o:p></o:p></span></div><div class="MsoListParagraphCxSpLast" style="margin-left: 32.2pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">5.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">CPU:</span></b><span style="font-size: 12.0pt; line-height: 115%;"> unidad central de procesamiento, es el componente del computador, que interpreta las instrucciones contenidas en los programas<span style="mso-spacerun: yes;"> </span>y procesa los datos.<o:p></o:p></span></div><div class="MsoListParagraphCxSpLast" style="margin-left: 32.2pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;"><span style="font-size: 12.0pt; line-height: 115%;"><br />
</span></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-20141951953920534982011-05-02T19:55:00.001-07:002011-05-02T19:55:47.361-07:00compañeros no olviden poner su nombre al final de cada tarea publicada para que el profesor sepa quienes publicaron.<br />
saludos ale mizunuma.prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-26060417955512997302011-05-02T18:01:00.000-07:002011-05-02T18:01:21.890-07:00tarea de computacion<div style="text-align: center;"><u><span style="font-size: x-large;">conceptos de computacion</span></u></div><div style="text-align: left;">monitor:para ver la informacion del pc.</div><div style="text-align: left;">parlante:para escucharsonidos del pc</div><div style="text-align: left;">teclado:para escribir en el pc</div><div style="text-align: left;">mouse:para ralizar acciones dentro del pc</div><div style="text-align: left;">unidad de cd-rom:donde se inserta el cd para trabajar en el pc</div><div style="text-align: left;"><em></em></div><div style="text-align: left;"><br />
</div><div style="text-align: left;"><br />
</div><div style="text-align: left;"><em><span style="font-size: xx-small;">inelda riquelme.</span></em></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com2tag:blogger.com,1999:blog-2596966441442682152.post-73296135633372586882011-05-02T17:39:00.000-07:002011-05-09T14:39:51.000-07:00Conceptos ComputacionalesHardware: Son todas las partes tangibles de un computador.<br />
Ejemplos de hardware:<br />
1.- Monitor: Muestra los resultados del procesamiento de una computadora.<br />
2.- CPU: Sirve para interpretar las instrucciones contenidas en los programas y procesa los datos.<br />
3.- Mouse: Es un dispositivo apuntador usado para facilitar el manejo de un entorno gráfico en una computadora.<br />
4.- Scanner: Es un periférico que se utiliza para convertir mediante el uso de la luz, imágenes o documentos a formatos digital.<br />
<br />
Software: es un conjunto de programas que son ejecutado por un hardware.<br />
Ejemplos de software.<br />
1.- GoogleChrome: Sirve para acceder a internet.<br />
2.- OpenOffice: Es una herramienta de oficina.<br />
3.- SKype: Se utiliza para realizar videos llamadas.<br />
4.- foobar2000: Es un reproductor de música.<br />
<br />
Eugenia González B. - Ana María Cerdaprevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com1tag:blogger.com,1999:blog-2596966441442682152.post-87910183527978615492011-05-02T09:25:00.000-07:002011-05-02T09:25:03.073-07:00guía numero dos<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Lógica proposicional</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Introducción</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">El ser humano, a través de su vida diaria, se comunica con sus semejantes a través de un lenguaje determinado (oral, escrito, etc.) por medio de las denominadas frases u oraciones. Estas pueden tener diferentes significados pero siempre van a resumirse a las formas de verdaderas o falsas, siendo éste el precedente fundamental para el desarrollo humano. Lo importante en el presente estudio es el hecho de que, a partir de los enunciados y de acuerdo a su significado es posible establecer una proposición y a partir de un conjunto de éstas podemos llegar a una conclusión o inferencia, siendo la lógica la ciencia encargada del estudio de éstas.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Hoy en día, la lógica proposicional que estudiaremos en este capítulo, tiene una importancia singular dada su aplicación en los llamados "circuitos lógicos" de uso en la electrónica y la informática.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Proposición</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La proposición es el significado de una idea, enunciado, conjunto de palabras o letras a las que se les puede asignar uno y sólo uno de los valores de verdad, que pueden ser:<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">VERDADERO</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> (V) o <span style="color: #7f0000;">FALSO </span>(F)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">En resumen, podemos dar la siguiente definición: <span style="color: #00007f;">Proposición es toda oración declarativa.</span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Por lo general, a las proposiciones se las representa por las letras del alfabeto desde la letra p, es decir, p, q, r, s, t, ... etc. Así, por ejemplo, podemos citar las siguientes proposiciones y su valor de verdad:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p : 15 + 5 = 21 (F)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q: Tocopilla es una provincia de Antofagasta. (V)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">r: El número 15 es divisible por 3. (V)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">s: El perro es un ave. (F)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Expresiones No Proposicionales</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Son aquellos enunciados a los que no se les puede asignar un valor de verdad. Entre ellos tenemos a los exclamativos, interrogativos o imperativos.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Así tenemos, por ejemplo:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">– ¿Cómo te llamas?<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">– Prohibido pasar<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">– Borra el pizarrón.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Enunciados Abiertos</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Si en la proposición: "cinco es mayor que tres" (en símbolos: 5 > 3) reemplazamos al número 5 por la letra x, se obtiene la expresión "<i>x</i> es mayor que tres" (<i>x</i> > 3), y si convenimos que <i>x</i> no represente necesariamente al número 5, sino a un número cualquiera, entonces al enunciado x > 3 se le denomina <b>enunciado abierto</b>.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Clasificación de las Proposiciones</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Aquellas proposiciones que constan o se les puede representar por una sola variable, se llaman proposiciones<b> simples o atómicas</b>. Por ejemplo, sea la proposición "p: 3 + 6 = 9" es una proposición simple o atómica.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Cuando una proposición consta de dos o más enunciados simples, se le llama proposición <b>compuesta o molecular</b>. Así, por ejemplo:<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600"
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stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x0000_i1037" type="#_x0000_t75" alt="http://soko.com.ar/imagenes/Matematica/logica/Image1081.gif"
style='width:171.75pt;height:33.75pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image001.gif"
o:title="Image1081"/> </v:shape><![endif]--><!--[if !vml]--><img alt="http://soko.com.ar/imagenes/Matematica/logica/Image1081.gif" height="45" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" v:shapes="_x0000_i1037" width="229" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">encontramos dos enunciados. El primero (p) nos afirma que Pitágoras era griego y el segundo (q) que Pitágoras era geómetra.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Notación y Conectivos Lógicos</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">A partir de proposiciones simples es posible generar otras, simples o compuestas. Es decir que se puede operar con proposiciones, y para ello se utilizan ciertos símbolos llamados conectivos lógicos. A continuación vemos una concreta definición de cada uno:<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> <o:p></o:p></span></div><div align="center"> <table border="0" cellpadding="0" cellspacing="6" class="MsoNormalTable" style="mso-cellspacing: 4.5pt; mso-padding-alt: 3.0pt 3.0pt 3.0pt 3.0pt; mso-yfti-tbllook: 1184;"><tbody>
<tr style="height: 21.75pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 21.75pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 14.0%;" width="14%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Símbolo</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> <o:p></o:p></span></div></td> <td style="height: 21.75pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 44.0%;" width="44%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Operación asociada</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> <o:p></o:p></span></div></td> <td style="height: 21.75pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 43.0%;" width="43%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Significado</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> <o:p></o:p></span></div></td> </tr>
<tr style="height: 116.25pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 116.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 14.0%;" width="14%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="height: 116.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 44.0%;" width="44%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Negación<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Conjunción o producto lógico<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Disyunción o suma lógica<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Implicación<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Doble implicación<o:p></o:p></span></div></td> <td style="height: 116.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 43.0%;" width="43%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">no p o no es cierto que p<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p y q<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p o q (en sentido incluyente)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p implica q, o si p entonces q<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p si y sólo si q<o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><b><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Operaciones Proposicionales</span></b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Definiremos las operaciones entre proposiciones en el sentido siguiente: dadas dos o más proposiciones, de las que se conoce los valores veritativos, se trata de caracterizar la proposición resultante a través de su valor de verdad. A tal efecto, estudiaremos a continuación el uso y significado de los diferentes conectivos lógicos mencionados arriba:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Negación</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Dada una proposición p, se denomina la negación de p a otra proposición denotada por <span style="color: #7f0000;">~ p</span> (se lee "no p") que le asigna el valor veritativo opuesto al de p. Por ejemplo:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p: Diego estudia matemática <span style="color: #7f0000;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~ p</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: Diego no estudia matemática<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Por lo que nos resulta sencillo construir su tabla de verdad:<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="width: 71px;"><tbody>
<tr style="height: 26.25pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 26.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 15.75pt;" width="21"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 26.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 16.5pt;" width="22"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~ p <o:p></o:p></span></div></td> </tr>
<tr style="height: 41.25pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 41.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 15.75pt;" width="21"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 41.25pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 16.5pt;" width="22"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Observamos aquí que al valor V de p, la negación le hace corresponder el valor F, y viceversa.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Se trata de una operación unitaria, pues a partir de una proposición se obtiene otra, que es su negación.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: La negación de " <span style="color: #7f0000;">p: todos los alumnos estudian matemática</span>" es <span style="color: #00007f;"> </span> <span style="color: #7f0000;"> </span><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~ p: no todos los alumnos estudian matemática</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">o bien: <o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~ p: no es cierto que todos los alumnos estudian matemática</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">~ p: hay alumnos que no estudian matemática</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Conjunción</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Dadas dos proposiciones p y q, se denomina conjunción de estas proposiciones a la proposición p q (se lee "p y q"), cuya tabla de verdad es:<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="width: 100px;"><tbody>
<tr style="height: 19.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 58.0%;" width="58%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p q <o:p></o:p></span></div></td> </tr>
<tr style="height: 72.0pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 58.0%;" width="58%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La tabla que define esta operación, establece que la conjunción es verdadera sólo si lo son las dos proposiciones componentes. En todo otro caso, es falsa.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: Sea la declaración: i) </span><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="_x0000_i1036" type="#_x0000_t75" alt="http://soko.com.ar/imagenes/Matematica/logica/Image1082.gif"
style='width:212.25pt;height:33.75pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image002.gif"
o:title="Image1082"/> </v:shape><![endif]--><!--[if !vml]--><img alt="http://soko.com.ar/imagenes/Matematica/logica/Image1082.gif" height="45" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1036" width="283" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Vemos que está compuesta de dos proposiciones a las que llamaremos p y q, que son<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p: 5 es un número impar<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q: 6 es un número par<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Por ser ambas verdaderas, la conjunción de ellas (que no es sino la declaración i) es verdadera.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ahora bien, sea la declaración<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">ii) Hoy es el día 3 de noviembre y mañana es el día de 5 de noviembre<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Esta conjunción es falsa, ya que no pueden ser simultáneamente verdaderas ambas proposiciones.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Disyunción</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Dadas dos proposiciones p y q, la disyunción de las proposiciones p y q es la proposición <span style="color: #00007f;">p q</span> cuya tabla de valor de verdad es:<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="width: 100px;"><tbody>
<tr style="height: 19.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 58.0%;" width="58%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p q <o:p></o:p></span></div></td> </tr>
<tr style="height: 72.0pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 21.0%;" width="21%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 58.0%;" width="58%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La disyunción <span style="color: #7f0000;">o</span> es utilizada en sentido excluyente, ya que la verdad de la disyunción se da en el caso de que al menos una de las proposiciones sea verdadera. En el lenguaje ordinario la palabra <span style="color: #7f0000;">o</span> es utilizada en sentido incluyente o excluyente indistintamente. Para agotar toda posibilidad de ambigüedades, en matemática se utiliza la disyunción definida por la tabla precedente, que nos muestra que la disyunción sólo es falsa cuando ambas proposiciones son falsas.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: Sea i) Tiro las cosas viejas o que no me sirven<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">El sentido de la disyunción compuesta por p y q (p: tiro las cosas viejas, q: tiro las cosas que no me sirven) es incluyente, pues si tiro algo viejo, y que además no me sirve, la disyunción es V.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Implicación o Condicional</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Implicación de las proposiciones p y q es la proposición p q (si p entonces q) cuya tabla de valores de verdad es:<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="width: 107px;"><tbody>
<tr style="height: 19.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 20.0%;" width="20%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 20.0%;" width="20%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 61.0%;" width="61%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p q <o:p></o:p></span></div></td> </tr>
<tr style="height: 72.0pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 20.0%;" width="20%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 20.0%;" width="20%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 61.0%;" width="61%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La proposición p se llama antecedente, y la proposición q se llama consecuente de la implicación o condicional. La tabla nos muestra que la implicación sólo es falsa si el antecedente es verdadero y el consecuente es falso.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: Supongamos la implicación </span><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="_x0000_i1035" type="#_x0000_t75"
alt="http://soko.com.ar/imagenes/Matematica/logica/Image1083.gif" style='width:180pt;
height:33.75pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image003.gif"
o:title="Image1083"/> </v:shape><![endif]--><!--[if !vml]--><img alt="http://soko.com.ar/imagenes/Matematica/logica/Image1083.gif" height="45" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image003.gif" v:shapes="_x0000_i1035" width="240" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La implicación está compuesta de las proposiciones<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p: apruebo<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 74.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q: te presto el libro<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Nos interesa conocer la verdad o falsedad de la implicación i), en relación a la verdad o falsedad de las proposiciones p y q. El enunciado puede pensarse como un compromiso, condicionado por p, y podemos asociar su verdad al cumplimiento del compromiso. Es evidente que si p es F, es decir si no apruebo el examen, quedo liberado del compromiso y preste o no el apunte la implicación es verdadera.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Si p es verdadera, es decir si apruebo el examen, y no presto el libro, el compromiso no se cumple y la proposición i) es falsa. Si p y q son verdaderas, entonces la proposición i) es verdadera pues el compromiso se cumple.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: 1 = –1 1² = (–1)² (F)<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La proposición resulta ser falsa por ser el antecedente (1 = –1) falso.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="color: #00007f; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Doble Implicación o Bicondicional</span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Doble implicación de las proposiciones p y q es la proposición p q (se lee "p si y sólo si q") cuya tabla de valores de verdad es<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="width: 107px;"><tbody>
<tr style="height: 19.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 19.0%;" width="19%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 19.0%;" width="19%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 61.0%;" width="61%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p q <o:p></o:p></span></div></td> </tr>
<tr style="height: 72.0pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 19.0%;" width="19%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 19.0%;" width="19%"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt; width: 61.0%;" width="61%"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La doble implicación o bicondicional sólo es verdadera si ambas proposiciones tienen el mismo valor de verdad.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">La doble implicación puede definirse como la conjunción de una implicación y su recíproca. De este modo, la tabla de valores de verdad de p q puede obtenerse mediante la tabla de (p q) (q p), como vemos:<o:p></o:p></span></div><div align="center"> <table border="1" cellpadding="0" cellspacing="1" class="MsoNormalTable" style="mso-cellspacing: .7pt; mso-padding-alt: 3.0pt 3.0pt 3.0pt 3.0pt; mso-yfti-tbllook: 1184;"><tbody>
<tr style="height: 19.5pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p q <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q p <o:p></o:p></span></div></td> <td style="height: 19.5pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">(p q) (q p) <o:p></o:p></span></div></td> </tr>
<tr style="height: 72.0pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;"> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> <td style="height: 72.0pt; padding: 3.0pt 3.0pt 3.0pt 3.0pt;"> <div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">F<o:p></o:p></span></div><div align="center" class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">V <o:p></o:p></span></div></td> </tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><i><span lang="ES-CL" style="color: #7f0000; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Ejemplo</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">: Sea i) a = b si y sólo si a<sup>2</sup> = b<sup>2<o:p></o:p></sup></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">El enunciado está compuesto por las proposiciones:<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">p: a = b<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">q: a<sup>2</sup> = b<sup>2<o:p></o:p></sup></span></div><div class="MsoNormal" style="line-height: normal; margin-right: 2.25pt; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Esta doble implicación es falsa si p es F y q es V. En los demás casos es V.<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 2;"><br />
</div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 2;"><br />
</div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 2;"><b><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Teoría de conjuntos<o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Sean <i>x</i> un elemento y <i>A</i>,<i>B</i> </span><span lang="ES-CL"><a href="http://es.wikipedia.org/wiki/Conjunto" title="Conjunto"><span lang="ES" style="color: blue; font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">conjuntos</span></a></span><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div><table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: #F9F9F9; border-collapse: collapse; border: none; margin-left: 12.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-padding-alt: 6.0pt 6.0pt 6.0pt 6.0pt; mso-yfti-tbllook: 1184;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="background: #F2F2F2; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Operación<o:p></o:p></span></b></div></td> <td style="background: #F2F2F2; border-left: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Notación<o:p></o:p></span></b></div></td> <td style="background: #F2F2F2; border-left: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Se lee<o:p></o:p></span></b></div></td> </tr>
<tr style="mso-yfti-irow: 1;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">pertenencia<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_430" o:spid="_x0000_i1034" type="#_x0000_t75" alt="x\in A "
style='width:37.5pt;height:11.25pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image004.gif"
o:title="in A "/> </v:shape><![endif]--><!--[if !vml]--><img alt="x\in A " border="0" height="15" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="Imagen_x0020_430" width="50" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x pertenece a A<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 2;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">inclusión<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_431" o:spid="_x0000_i1033" type="#_x0000_t75" alt="A\subset B"
style='width:42pt;height:11.25pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image005.gif"
o:title="subset B"/> </v:shape><![endif]--><!--[if !vml]--><img alt="A\subset B" border="0" height="15" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image005.gif" v:shapes="Imagen_x0020_431" width="56" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">A está contenido en B<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 3;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_432" o:spid="_x0000_i1032" type="#_x0000_t75" alt="A\subseteq B"
style='width:42pt;height:12.75pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image006.gif"
o:title="subseteq B"/> </v:shape><![endif]--><!--[if !vml]--><img alt="A\subseteq B" border="0" height="17" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="Imagen_x0020_432" width="56" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">A está contenido en B o es igual que B<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 4;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">inclusión<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_433" o:spid="_x0000_i1031" type="#_x0000_t75" alt="A\supset B"
style='width:42pt;height:11.25pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image007.gif"
o:title="supset B"/> </v:shape><![endif]--><!--[if !vml]--><img alt="A\supset B" border="0" height="15" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image007.gif" v:shapes="Imagen_x0020_433" width="56" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">A contiene a B<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_434" o:spid="_x0000_i1030" type="#_x0000_t75" alt="A\supseteq B"
style='width:42pt;height:12.75pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image008.gif"
o:title="supseteq B"/> </v:shape><![endif]--><!--[if !vml]--><img alt="A\supseteq B" border="0" height="17" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image008.gif" v:shapes="Imagen_x0020_434" width="56" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">A contiene a B o es igual que B<o:p></o:p></span></div></td> </tr>
</tbody></table><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Una barra cruzada sobre el símbolo niega el enunciado; por ejemplo </span><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="Imagen_x0020_435" o:spid="_x0000_i1029"
type="#_x0000_t75" alt="x\not\in A" style='width:35.25pt;height:16.5pt;
visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image009.gif"
o:title="in A"/> </v:shape><![endif]--><!--[if !vml]--><img alt="x\not\in A" border="0" height="22" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image009.gif" v:shapes="Imagen_x0020_435" width="47" /><!--[endif]--></span><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">es "x <i>no</i> pertenece a A";<o:p></o:p></span></div><div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 2;"><b><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Expresiones<o:p></o:p></span></b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: #F9F9F9; border-collapse: collapse; border: none; margin-left: 12.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-padding-alt: 6.0pt 6.0pt 6.0pt 6.0pt; mso-yfti-tbllook: 1184;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"> <td style="background: #F2F2F2; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Operación<o:p></o:p></span></b></div></td> <td style="background: #F2F2F2; border-left: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Notación<o:p></o:p></span></b></div></td> <td style="background: #F2F2F2; border-left: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt; text-align: center;"><b><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">Se lee<o:p></o:p></span></b></div></td> </tr>
<tr style="mso-yfti-irow: 1;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">igualdad<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> = <i>y</i><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x es igual a y<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 2;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">menor que<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> < <i>y</i><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x es menor que y<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 3;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">mayor que<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x</span></i><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"> > <i>y</i><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x es mayor que y<o:p></o:p></span></div></td> </tr>
<tr style="mso-yfti-irow: 4; mso-yfti-lastrow: yes;"> <td style="border-top: none; border: solid #AAAAAA 1.0pt; mso-border-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">aproximado<o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape
id="Imagen_x0020_436" o:spid="_x0000_i1028" type="#_x0000_t75" alt=" x \approx y "
style='width:35.25pt;height:10.5pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="file:///C:\DOCUME~1\ale\CONFIG~1\Temp\msohtmlclip1\01\clip_image010.gif"
o:title="approx y "/> </v:shape><![endif]--><!--[if !vml]--><img alt=" x \approx y " border="0" height="14" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="Imagen_x0020_436" width="47" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;"><o:p></o:p></span></div></td> <td style="border-bottom: solid #AAAAAA 1.0pt; border-left: none; border-right: solid #AAAAAA 1.0pt; border-top: none; mso-border-alt: solid #AAAAAA .75pt; mso-border-left-alt: solid #AAAAAA .75pt; mso-border-top-alt: solid #AAAAAA .75pt; padding: 2.4pt 2.4pt 2.4pt 2.4pt;"> <div class="MsoNormal" style="line-height: normal; margin-bottom: 12.0pt; margin-left: 0cm; margin-right: 0cm; margin-top: 12.0pt;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-CL;">x es aproximadamente igual a y<o:p></o:p></span></div></td> </tr>
</tbody></table><div class="MsoNormal"><br />
</div><div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">PROBLEMAS PROPUESTOS<o:p></o:p></span></b></div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 27.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: none; text-indent: -27.0pt;"><!--[if !supportLists]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Sea A = {1, 2, 3, 4, 5}, B = {2, 4, 6}.<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; text-align: justify; text-autospace: none;"><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Hallar A ∩ B = ?,<span style="mso-spacerun: yes;"> </span>A </span><span lang="ES-TRAD" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: ES-TRAD; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;"> B = ?<o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; text-align: justify; text-autospace: none;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 27.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; tab-stops: list -252.0pt; text-align: justify; text-autospace: none; text-indent: -27.0pt;"><!--[if !supportLists]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Dado los conjuntos: A = {1, 2, 3, 4, 5, 7}, B = {3, 4, 6}. C = {1, 2, 4, 8, 9, 5}<o:p></o:p></span></div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;">Hallar A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> B = ?, A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, B </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, A ∩ B = ?, A ∩ C = ?, B ∩ C = ? <o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; text-align: justify; text-autospace: none;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 27.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; tab-stops: list -252.0pt; text-align: justify; text-autospace: none; text-indent: -27.0pt;"><!--[if !supportLists]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">3)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Dado los conjuntos: A = {1, 2, 3, 4, 5, }, B = {2, 4, 6}. C = { 2, 4, 8, 9,}<o:p></o:p></span></div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;">Hallar A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> B = ?, A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, B </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, A ∩ B = ?, A ∩ C = ?, B ∩ C = ? <o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; text-align: justify; text-autospace: none;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 27.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; tab-stops: list -252.0pt; text-align: justify; text-autospace: none; text-indent: -27.0pt;"><!--[if !supportLists]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">4)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Dado los conjuntos: A = {a, b, c, d, e}, B = {a, e}. C = {d, f, g}<o:p></o:p></span></div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;">Hallar A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> B = ?, A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, B </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, A ∩ B = ?, A ∩ C = ?, B ∩ C = ? <o:p></o:p></span></div><div class="MsoNormal" style="mso-layout-grid-align: none; text-align: justify; text-autospace: none;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 27.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; tab-stops: list -252.0pt; text-align: justify; text-autospace: none; text-indent: -27.0pt;"><!--[if !supportLists]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">5)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="ES-TRAD" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; mso-ansi-language: ES-TRAD; mso-fareast-font-family: Calibri;">Dado los conjuntos: A = {c, h, a, t}, B = {c, h, a, r , m}. C = {h, r, t, n}<o:p></o:p></span></div><div class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;">Hallar A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> B = ?, A </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, B </span><span lang="EN-GB" style="font-family: "cmsy10","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-bidi-font-family: Arial; mso-fareast-font-family: Calibri;">∪</span><span lang="EN-GB" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-GB; mso-fareast-font-family: Calibri;"> C = ?, A ∩ B = ?, A ∩ C = ?, B ∩ C = ? <o:p></o:p></span></div><div class="MsoNormal"><br />
</div><div class="MsoNormal"><span style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: ES; mso-fareast-language: ES; mso-no-proof: yes;"><!--[if gte vml 1]><v:shape id="Imagen_x0020_2" o:spid="_x0000_i1027"
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o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img border="0" height="328" src="file:///C:/DOCUME~1/ale/CONFIG~1/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="Imagen_x0020_4" width="589" /><!--[endif]--></span><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;"><o:p></o:p></span></div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-37321158730210102772011-04-18T20:59:00.000-07:002011-04-18T20:59:30.490-07:00<div align="center" class="MsoNormal" style="text-align: center;"><b style="mso-bidi-font-weight: normal;"><u><span lang="ES-CL" style="font-family: "Arial Black","sans-serif";">GUIA DE EJERCICIOS Nº 1<o:p></o:p></span></u></b></div><div class="MsoNormal"><br />
</div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial Black","sans-serif";">Estimado (a) alumno (a),esta guía sintetiza nuestra primera clase, te invito a trabajar a conciencia.<o:p></o:p></span></b></div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">ENUNCIADOS<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Sea p “El es rico” y sea q “El es feliz”. Escribir por enunciados verbales los siguientes enunciados simbólicos.<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpLast" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><v:shapetype adj="16200,5400" coordsize="21600,21600" id="_x0000_t13" o:spt="13" path="m@0,l@0@1,0@1,0@2@0@2@0,21600,21600,10800xe"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="val #0"> <v:f eqn="val #1"> <v:f eqn="sum height 0 #1"> <v:f eqn="sum 10800 0 #1"> <v:f eqn="sum width 0 #0"> <v:f eqn="prod @4 @3 10800"> <v:f eqn="sum width 0 @5"> </v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas> <v:path o:connectangles="270,180,90,0" o:connectlocs="@0,0;0,10800;@0,21600;21600,10800" o:connecttype="custom" textboxrect="0,@1,@6,@2"> <v:handles> <v:h position="#0,#1" xrange="0,21600" yrange="0,10800"> </v:h></v:handles> </v:path></v:stroke></v:shapetype><v:shape id="_x0000_s1026" style="height: 7.15pt; left: 0; margin-left: 232.2pt; margin-top: 6.85pt; position: absolute; text-align: left; width: 12.75pt; z-index: 251658240;" type="#_x0000_t13"><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">p </span></b><span dir="RTL"></span><span dir="RTL" lang="AR-SA" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-font-weight: bold;"><span dir="RTL"></span>٧</span><span dir="LTR"></span><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;"><span dir="LTR"></span> q<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>b) p ^ q<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>c) q <span style="mso-spacerun: yes;"> </span>p<span style="mso-spacerun: yes;"> </span>d) p </span></b><span dir="RTL"></span><span dir="RTL" lang="AR-SA" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-font-weight: bold;"><span dir="RTL"></span>٧</span><span dir="LTR"></span><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;"><span dir="LTR"></span> ~ q<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></b></v:shape></div><div class="MsoNormal" style="margin-left: 54.0pt;"><v:shape id="_x0000_s1029" style="height: 7.15pt; left: 0; margin-left: 360.45pt; margin-top: .05pt; position: absolute; text-align: left; width: 16.5pt; z-index: 251661312;" type="#_x0000_t13"><v:shape id="_x0000_s1028" style="height: 7.15pt; left: 0; margin-left: 171.45pt; margin-top: .05pt; position: absolute; text-align: left; width: 13.5pt; z-index: 251660288;" type="#_x0000_t13"><v:shapetype adj="4320,5400" coordsize="21600,21600" id="_x0000_t69" o:spt="69" path="m,10800l@0,21600@0@3@2@3@2,21600,21600,10800@2,0@2@1@0@1@0,xe"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="val #0"> <v:f eqn="val #1"> <v:f eqn="sum 21600 0 #0"> <v:f eqn="sum 21600 0 #1"> <v:f eqn="prod #0 #1 10800"> <v:f eqn="sum #0 0 @4"> <v:f eqn="sum 21600 0 @5"> </v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas> <v:path o:connectangles="270,270,270,180,90,90,90,0" o:connectlocs="@2,0;10800,@1;@0,0;0,10800;@0,21600;10800,@3;@2,21600;21600,10800" o:connecttype="custom" textboxrect="@5,@1,@6,@3"> <v:handles> <v:h position="#0,#1" xrange="0,10800" yrange="0,10800"> </v:h></v:handles> </v:path></v:stroke></v:shapetype><v:shape id="_x0000_s1027" style="height: 7.15pt; left: 0; margin-left: 82.95pt; margin-top: 7.2pt; position: absolute; text-align: left; width: 15pt; z-index: 251659264;" type="#_x0000_t69"><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">e)<span style="mso-spacerun: yes;"> </span>q<span style="mso-spacerun: yes;"> </span>~ p<span style="mso-spacerun: yes;"> </span>f) ~ p<span style="mso-spacerun: yes;"> </span>q<span style="mso-spacerun: yes;"> </span>g) ~ ~ p<span style="mso-spacerun: yes;"> </span>h) ( ~ p ^ q) <span style="mso-spacerun: yes;"> </span>p<o:p></o:p></span></b></v:shape></v:shape></v:shape></div><div class="MsoNormal"><br />
</div><div class="MsoListParagraphCxSpFirst" style="mso-list: l1 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Sea p “El es rico” y sea q “El es feliz”. Escribir en forma simbólica los siguientes enunciados<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>i.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El no es rico ni feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>ii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ser pobre es ser infeliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Uno nunca es feliz si es rico<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iv.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El es pobre pero feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>v.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El no puede ser rico y feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vi.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si él es infeliz es pobre<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si él no es pobre y feliz, entonces es rico<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>viii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ser rico es lo mismo que ser feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>ix.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El es pobre o bien es rico e infeliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>x.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si él no es pobre, entonces es feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Sea p “El es rico” y sea q “El es feliz”. Escribir los siguientes enunciados condicionales en forma simbólica<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l0 level1 lfo4; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>i.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si él es pobre, él es feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l0 level1 lfo4; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>ii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ser pobre implica ser feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l0 level1 lfo4; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Hay que ser pobre `para ser feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l0 level1 lfo4; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iv.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ser rico es suficiente<span style="mso-spacerun: yes;"> </span>para ser feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l0 level1 lfo4; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>v.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El es pobre sólo si es infeliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">4.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Determinar el valor de verdad de los siguientes enunciados<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>i.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si 5 < 3, entonces – 3 < -5<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>ii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">No es verdad que 2 + 2 = 4 ó 3 + 5 = 6<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Es verdad que 2 + 2 ≠ 4 y 3 + 3 = 6<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iv.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si 3 < 5,entonces -3 < -5<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>v.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">No es verdad que si 2 + 2 =4, entonces 3 + 3 = 5 ó 1 + 1 = 2<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vi.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si 2 + 2 = 4, entonces no es verdad que 2 + 1 = 3 y 5 + 5 = 10<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">No es verdad que 2 + 7 = 9 si, y sólo si 2 + 1 = 5 implica 5 + 5 = 8<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l3 level1 lfo5; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>viii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si 2 + 2 ≠ 4, entonces no es verdad que 3 + 3 = 7 si y sólo si 1 + 1 = 2<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="mso-list: l1 level1 lfo1; text-indent: -18.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">5.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>Escribe en lenguaje verbal la negación de cada uno de los enunciados siguientes de la manera más simple posible<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>i.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El es alto pero galán<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>ii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El no es rico ni feliz<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si caen los precios de las acciones, aumenta el desempleo<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>iv.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ni Marcos ni Enrique son ricos<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>v.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">El tiene cabello rubio u ojos azules<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vi.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Ambos, Marcos y Enrique son inteligentes<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpMiddle" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>vii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Si Marcos es rico, entonces tanto Enrique como Javier son felices<o:p></o:p></span></b></div><div class="MsoListParagraphCxSpLast" style="margin-left: 72.0pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-text-indent-alt: -18.0pt; text-indent: -72.0pt;"><!--[if !supportLists]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span>viii.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><!--[endif]--><b style="mso-bidi-font-weight: normal;"><span lang="ES-CL" style="font-family: "Arial","sans-serif"; font-size: 12.0pt; line-height: 115%;">Marcos o Enrique es inteligente y Javier es apuesto<o:p></o:p></span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj247ZJL_DmaTcwkmohmZ42go0iIbeNuu7tGyvaWI8hJTWkUgepWzTrAaUYUjBpe4Ke03I1KeAZ07gl4IRUOkKr1yoAF2PJavvfc4XABvba3jB2ZwAi9Gnl21OS6YywwKi-GpE2XeM9ysL1/s1600/matematicas.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj247ZJL_DmaTcwkmohmZ42go0iIbeNuu7tGyvaWI8hJTWkUgepWzTrAaUYUjBpe4Ke03I1KeAZ07gl4IRUOkKr1yoAF2PJavvfc4XABvba3jB2ZwAi9Gnl21OS6YywwKi-GpE2XeM9ysL1/s1600/matematicas.jpg" /></a></div><div class="MsoListParagraphCxSpLast" style="margin-left: 72.0pt; 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</div>prevencionderiesgo2011http://www.blogger.com/profile/00221549032867406055noreply@blogger.com0tag:blogger.com,1999:blog-2596966441442682152.post-52633304032377101362011-04-18T20:50:00.000-07:002011-04-18T20:52:57.052-07:00Saludosel blog esta creado ahora lo dejo en sus manos, espero que lo utilicen de buena manera :)<br />
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