document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835878>Question 835878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the truth value of: Any n that is a positive integer and is a prime number, implies => n is and odd number, or n is equal to 2.\r<BR>\n" );
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document.write( "Write the negation, converse, inverse, and contrapositive of this implication, and determine their<BR>\n" );
document.write( "truth values.\r<BR>\n" );
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document.write( "This is a discrete mathematics word problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503778 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A - n is a prime number (all primes are positive)<BR>\n" );
document.write( "B - n is an odd number<BR>\n" );
document.write( "C - n equals 2<BR>\n" );
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document.write( "Conditional : If A then B or C.<BR>\n" );
document.write( "Negation : If A then -B or -C.<BR>\n" );
document.write( "Converse : If B or C, then A.<BR>\n" );
document.write( "Inverse : If -A then -B or -C.<BR>\n" );
document.write( "Contrapositive : If -B or -C, then -A.<BR>\n" );
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document.write( "-A - n is not a prime number<BR>\n" );
document.write( "-B - n is not an odd number or n is an even number<BR>\n" );
document.write( "-C - n does not equal 2<BR>\n" );
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document.write( "Work through the conditionals and determine the truth values.<BR>\n" );
document.write( "I'll do the first one.<BR>\n" );
document.write( "If n is prime, then n is either odd or equals 2. TRUE, if it was even, then you could divide by 2 and it wouldn't be prime.  </SPAN>\n" );
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