Capitulo1

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#006666" TEXT="#080000"> <div> <B>Matemáticas de la U (MatU)  | </B><A HREF="http://jcbmat.com" TARGET="_top" TITLE="http://jcbmat.com"><U><B>Home</B></U></A><B> | </B><A HREF="id518.htm" TARGET="_top" TITLE="Teoría de conjuntos"><U><B>Teoría de conjuntos</B></U></A><B> | </B><A HREF="id519.htm" TARGET="_top" TITLE="Seymour Lipschutz"><U><B>Seymour Lipschutz</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> <bR> <bR> <div> Álgebra de Baldor</div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>Capítulo 1</B></div> <div> <B>Cojuntos y subconjuntos</B></div> <div> Teoría de conjuntos</div> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <div>  <A NAME="top"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>Top</div> <div> <B>Enunciados y enlaces a las soluciones de los problemas del Capítulo 1</B></div> <bR> <div> <B>S</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >olución en imagen <IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> y o video <IMG SRC="12a918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> de los problemas del Capítulo 1:</FONT><FONT SIZE="1" COLOR="#FFFFFF" FACE="Calisto MT" >Mat</FONT></div> <div> <B>NOTACIÓN:</B><FONT SIZE="1" COLOR="#FFFFFF" FACE="Calisto MT" >emáticas de la U</FONT></div> <div> 36.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Escribir en notación conjuntista:</FONT></div> <div> (<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >1</FONT>)  <I>R</I> es un superconjunto de <I>T                          </I>(<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >4</FONT>)  El conjunto potencia de <I>W              </I>(<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >7</FONT>)  El conjunto vacío</div> <div> (<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >2</FONT>)  <I>x</I> es un elemento de <I>Y                                     </I>(<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >5</FONT>)  <I>z</I>  no pertenece a <I>A                           </I>(<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >8</FONT>)  <I>R</I> pertenece a <FONT SIZE="4" COLOR="#000000" FACE="Euclid Math One" ><I>A</I></FONT></div> <div> (<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >3</FONT>)  <I>M</I> no es un sudconjunto de <I>S                        </I>(<FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >6</FONT>)  <I>B</I> está incluido en <I>F                                                                </I><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#36_1" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <bR> <div> 37.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Enunciar verbalmente:</FONT></div> <div> <IMG SRC="12ad69370.gif" border=0 width="617" height="55" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#37" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> 38.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Escribir en forma tabular:</FONT></div> <div> <IMG SRC="12e8615c0.gif" border=0 width="865" height="92" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#1_38" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >39.</FONT><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT>Si <I>E</I> = {<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >0, 1</FONT>}, decir entre las afirmaciones siguientes cuáles son correctas y cuáles incorrectas.</div> <div> <IMG SRC="12eb511c0.gif" border=0 width="593" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#1_39" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> 40.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >En una exposición axiomática de la teoría de conjuntos, decir cuáles de los siguientes símbolos representan una relación no definida:</FONT></div> <div> <IMG SRC="12eee5190.gif" border=0 width="229" height="25" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#1_40" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <B>SUBCONJUNTOS:</B></div> <div> <B><IMG SRC="12f1db1c0.gif" border=0 width="475" height="28" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#1_41" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="12f5ec1f0.gif" border=0 width="492" height="31" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_42" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="12f6bb510.gif" border=0 width="955" height="81" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_43" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="12f8374b0.gif" border=0 width="823" height="75" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_44" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="12fb4f470.gif" border=0 width="591" height="71" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_45" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <B>PROBLEMAS DIVERSOS:</B></div> <div> <B><IMG SRC="130091190.gif" border=0 width="657" height="25" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" ><A HREF="#1_46" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <IMG SRC="1303ab180.gif" border=0 width="683" height="24" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_47" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="130558370.gif" border=0 width="856" height="55" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_48" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="1307f8a70.gif" border=0 width="760" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_49" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="1309a84b0.gif" border=0 width="680" height="75" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_50" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="130bb0190.gif" border=0 width="688" height="25" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <IMG SRC="130d48b20.gif" border=0 width="328" height="178" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><A HREF="#1_51" TITLE="Capitulo1"><U><IMG SRC="12a818180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> <B> </B><FONT SIZE="4" COLOR="#BF0000" FACE="Times New Roman" ><B>Soluciones de los problemas del Capítulo 1</B></FONT></div> <div> <B>NOTACIÓN</B><B>:</B></div> <div> <B> <A NAME="36_1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><FONT SIZE="1" COLOR="#FFFFFF" FACE="Times New Roman" >36</FONT></div> <div> 36.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Escribir en notación conjuntista:</FONT></div> <div> <IMG SRC="12ace16c0.gif" border=0 width="993" height="108" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="37"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>37</div> <div> 37.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Enunciar verbalmente:</FONT></div> <div> <IMG SRC="12aef4830.gif" border=0 width="1012" height="131" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_38"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.38</div> <div> 38.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >Escribir en forma tabular:</FONT></div> <div> <IMG SRC="12ea88310.gif" border=0 width="904" height="561" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_39"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.39</div> <div> <FONT SIZE="4" COLOR="#CC0033" FACE="Arial" >39.</FONT><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT>Si <I>E</I> = {<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >0, 1</FONT>}, decir entre las afirmaciones siguientes cuáles son correctas y cuáles incorrectas.</div> <div> <IMG SRC="12edb1bc0.gif" border=0 width="689" height="188" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_40"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.40</div> <div> 40.<FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >  </FONT><FONT SIZE="4" COLOR="#000000" FACE="Georgia" >En una exposición axiomática de la teoría de conjuntos, decir cuáles de los siguientes símbolos representan una relación no definida:</FONT></div> <div> <IMG SRC="12f061770.gif" border=0 width="353" height="119" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B>SUBCONJUNTOS:</B></div> <div>  <A NAME="1_41"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.40</div> <div> <IMG SRC="12f3fc9c0.gif" border=0 width="764" height="156" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_42"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.42</div> <div> <IMG SRC="12f405a10.gif" border=0 width="773" height="161" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_43"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.43</div> <div> <IMG SRC="12f7bba10.gif" border=0 width="955" height="417" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_44"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.44</div> <div> <IMG SRC="12fa93340.gif" border=0 width="915" height="564" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_45"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.45</div> <div> <IMG SRC="12fcd5940.gif" border=0 width="725" height="148" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <B>PROBLEMAS DIVERSOS:</B></div> <div>  <A NAME="1_46"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.46</div> <div> <IMG SRC="12fdb3700.gif" border=0 width="947" height="368" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <IMG SRC="12ff70710.gif" border=0 width="112" height="113" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_47"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.47</div> <div> <IMG SRC="13015d490.gif" border=0 width="861" height="329" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <IMG SRC="1302ff8f0.gif" border=0 width="255" height="143" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_48"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.48</div> <div> <IMG SRC="13045be10.gif" border=0 width="859" height="225" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_49"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.49</div> <div> <IMG SRC="13060bbc0.gif" border=0 width="1035" height="444" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_50"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.50</div> <div> <IMG SRC="130888010.gif" border=0 width="904" height="257" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="1_51"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1.51</div> <div> <IMG SRC="130ab0190.gif" border=0 width="688" height="25" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <IMG SRC="130e48b20.gif" border=0 width="328" height="178" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="1310135f0.gif" border=0 width="787" height="95" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <IMG SRC="130fa3770.gif" border=0 width="163" height="119" ALT="Imagen de Paintbrush" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <B> <img src="HTMLobj-4773/aniGif.gif" border="0" align="bottom" width="550" height="14">  </B></div> <bR> <div> <IMG SRC="12808c8c0.gif" border=0 width="140" height="140" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="113328280.jpg" 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