document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192007>Question 1192007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove:<BR>\n" );
document.write( "if 3 is not divisible by m * n, then 3 is not divisible by m and 3 is not divisible by n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823903 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Prove:<BR>\n" );
document.write( "if 3 is not divisible by m * n, then 3 is not divisible by m and 3 is not divisible by n<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The posted statement is &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "One possible counter-example is &nbsp;m = 5, &nbsp;n = 1.\r<BR>\n" );
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document.write( "It is true that &nbsp;3 &nbsp;is not divisible by &nbsp;m*n = 5*1 = 5, &nbsp;in this case - - - so the premise is &nbsp;TRUE.\r<BR>\n" );
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document.write( "But the &nbsp;\"then\" &nbsp;statement is &nbsp;FALSE: \r<BR>\n" );
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document.write( "    it is true that 3 is not divisible by 5, \r\n" );
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document.write( "    but it is FALSE that 3 is not divisible by 1.\r\n" );
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document.write( "This counter-example &nbsp;DISPROVE &nbsp;your statement in the post.\r<BR>\n" );
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document.write( "Solved and &nbsp;DISPROVED. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Answered and explained.\r<BR>\n" );
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document.write( "From the first glance on your post it is clear that it is like a sock turned inside out,\r<BR>\n" );
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document.write( "and the correct statement must be different - but in this case, &nbsp;I prefer do not discuss \r<BR>\n" );
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document.write( "my suspicions and instead disprove the wrong statement.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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