document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470968>Question 470968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay I have this question I thought I understood I thought the answer would be    ~(~pVq) but its not in the potions so i do not know what i am doing wrong?<BR>\n" );
document.write( ". Let p represent the statement, \"Jim plays football\", and let q represent \"Michael plays basketball\". Convert the compound statements into symbols.\r<BR>\n" );
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document.write( "It is not the case that Jim plays football and Michael does not play basketball.<BR>\n" );
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document.write( "   a   ~p  q <BR>\n" );
document.write( "   b   ~p  ~q <BR>\n" );
document.write( "   c   ~(p  q) <BR>\n" );
document.write( "    d  ~(p  ~q) <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 #323037 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=323037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Jim plays football\" is the statement p\r<BR>\n" );
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document.write( "\"Michael plays basketball\" is the statement q. So \"Michael does not play basketball\" is ~q\r<BR>\n" );
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document.write( "This means that \"Jim plays football and Michael does not play basketball\" translates to p ^ ~q where ^ is the \"and\" conjunction.\r<BR>\n" );
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document.write( "Finally, negate the entire thing (since it starts off with \"It is not the case...\") to get\r<BR>\n" );
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document.write( "~(p ^ ~q)\r<BR>\n" );
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document.write( "Now you could use De Morgan's Law to turn that into ~p V ~~q and then use double negation to get ~p V q </SPAN>\n" );
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