document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197905>Question 1197905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the universal set U = {1,2,3,4 5,6,7,8,9} and if set A = {1,3,5,7,9}, find the complement of set A.\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "Let A_c = complement of set A\r<BR>\n" );
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document.write( "A_c = {2,4,6,8}.\r<BR>\n" );
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document.write( "It follows from the definition of complement that set A united with A_c = set U.\r<BR>\n" );
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document.write( "Question:\r<BR>\n" );
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document.write( "Why does set A intersected with A_c = empty set?  </SPAN>\n" );
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document.write( "Why does set A intersected with A_c = empty set?\r<BR>\n" );
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document.write( "The intersection of sets for two given sets is the set that contains all the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=elements ALIGN=MIDDLE  ALT=\"elements\"   DISABLED_style= \"max-width:90%; height:auto;\" > that are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=common ALIGN=MIDDLE  ALT=\"common\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=both+ ALIGN=MIDDLE  ALT=\"both+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sets ALIGN=MIDDLE  ALT=\"sets\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "A and  A_c have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NO ALIGN=MIDDLE  ALT=\"NO\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=common ALIGN=MIDDLE  ALT=\"common\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=elements ALIGN=MIDDLE  ALT=\"elements\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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