document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186683>Question 186683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> U = {1,2,3,4,5,6,7}<BR>\n" );
document.write( "A = {1,3,5,7}<BR>\n" );
document.write( "B = {1,2,3}<BR>\n" );
document.write( "C = {2,3,4,5,6}  \r<BR>\n" );
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document.write( "Find each of the following sets <BR>\n" );
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document.write( "(C'  upsidedown U   A) U (C' upsidedown U   B') \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139943 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since B = {1,2,3} and U = {1,2,3,4,5,6,7}, this means that B'= everything in U that is NOT in B = {4,5,6,7}\r<BR>\n" );
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document.write( "Also, because C = {2,3,4,5,6} and U = {1,2,3,4,5,6,7}, this means C' = everything in U that is NOT in C = {1,7}\r<BR>\n" );
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document.write( "Now let's evaluate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE C' \cap A\">. So simply find the elements that BOTH C' and A have in common:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE C' \cap A=\left\{1,7\right\}\"> Note: the elements 1 and 7 are BOTH in C' and A\r<BR>\n" );
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document.write( "Now  evaluate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE C' \cap B'\">. So simply find the elements that BOTH C' and B' have in common:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE C' \cap B'=\left\{7\right\}\"> Note: 7 is the only element that is BOTH in C' and B\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(C' \cap A \right) \cup \left(C' \cap B' \right)\">\r<BR>\n" );
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document.write( "then becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{1,7\right\} \cup \left\{7\right\}\">\r<BR>\n" );
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document.write( "combine them to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{1,7\right\}\">\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So this means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(C' \cap A \right) \cup \left(C' \cap B' \right)=\left\{1,7\right\}\"> </SPAN>\n" );
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