document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475498>Question 475498</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 not enough time, then I will miss lunch.<BR>\n" );
document.write( "II) If I will not miss lunch, then there is enough time.<BR>\n" );
document.write( "III) There is enough time or I will miss lunch.<BR>\n" );
document.write( "   <BR>\n" );
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( " <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 #326093 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine which, if any, of the three statements are equivalent.<BR>\n" );
document.write( "I) If there is not enough time, then I will miss lunch.<BR>\n" );
document.write( "II) If I will not miss lunch, then there is enough time.<BR>\n" );
document.write( "III) There is enough time or I will miss lunch.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "The contrapositive of a statement is equivalent to the statement.<BR>\n" );
document.write( "statement I says:<BR>\n" );
document.write( "If there is not enough time, then I will miss lunch.<BR>\n" );
document.write( "statement II says:<BR>\n" );
document.write( "If I will not miss lunch, then there is enough time.<BR>\n" );
document.write( "the contrapositive form is:<BR>\n" );
document.write( "if p then q = statement<BR>\n" );
document.write( "if not q then not p is the contrapositive.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "p is equal to there is not enough time.<BR>\n" );
document.write( "q is equal to i will miss lunch.<BR>\n" );
document.write( "not q is equal to i will not miss lunch.<BR>\n" );
document.write( "not p is equal to there is enough time.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "statement III is not equivalent to either one of the first two statements.<BR>\n" );
document.write( "Answer to your question is:<BR>\n" );
document.write( "statement I and II are equivalent.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );