document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294029>Question 294029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine which, if any, of the three statements are equivalent.<BR>\n" );
document.write( "I) If there is no food left on the table, then we have had dinner.<BR>\n" );
document.write( "II) If we have had dinner, then there is no food left on the table.<BR>\n" );
document.write( "III) If there is food left on the table, then we have not had dinner.\r<BR>\n" );
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document.write( "        I, II, and III are equivalent <BR>\n" );
document.write( "        I and II are equivalent <BR>\n" );
document.write( "        II and III are equivalent <BR>\n" );
document.write( "        I and III are equivalent <BR>\n" );
document.write( "        None are equivalent <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212131 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Contrapositives are equivalent.<BR>\n" );
document.write( "Switch the arguments and negate both<BR>\n" );
document.write( "I If there is no food left on the table, then we have had dinner.<BR>\n" );
document.write( ".....If we have not  had dinner, then there is food left on the table\r<BR>\n" );
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document.write( "II) If we have had dinner, then there is no food left on the table.<BR>\n" );
document.write( "III) If there is food left on the table, then we have not had dinner.<BR>\n" );
document.write( "II and III are contrapositives and are equivalent.<BR>\n" );
document.write( "This was also answered in January<BR>\n" );
document.write( "http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.263278.html </SPAN>\n" );
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