document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465832>Question 465832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let U = {x&#9474;x is an American}<BR>\n" );
document.write( "C = {x&#9474;x is a smoker}<BR>\n" );
document.write( "D = {x&#9474;x has a health problem}<BR>\n" );
document.write( "E = {x&#9474;x is a male}\r<BR>\n" );
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document.write( "Describe in words a member of each of the following:<BR>\n" );
document.write( "(a) ¯C¯<BR>\n" );
document.write( "(b) ¯C¯ &#8745; ¯D¯<BR>\n" );
document.write( "(c) C &#8745; D<BR>\n" );
document.write( "(d) D - C<BR>\n" );
document.write( "(e) D U C\r<BR>\n" );
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document.write( "NOTE:  U denotes “union” , &#8745; denotes “intersection” and ¯ ¯ denotes “negation”, <BR>\n" );
document.write( "              for example, ¯ C¯ = is not a smoker\r<BR>\n" );
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document.write( "Stumped unable to start. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319212 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "a) The set of all American non-smokers.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{Solver91311}\ \in\ \overline{C}\,\small{\cap}\LARGE E\">\r<BR>\n" );
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document.write( "b) The set of all American non-smokers who do not have any health problems.\r<BR>\n" );
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document.write( "c) The set of all American smokers who do have at least one health problem.\r<BR>\n" );
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document.write( "d) The set of all Americans who do have at least one health problem but do not smoke.  This is a intersection of the complement of C with D.\r<BR>\n" );
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document.write( "BTW, the correct notation for this is a backslash rather than a minus sign, thus <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE D\,\setminus\,C\"> which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{C}\,\small{\cap}\LARGE \,D\">\r<BR>\n" );
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document.write( "e) The set of all Americans who either have at least on health problem, smoke, or both.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
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