document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372737>Question 372737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use a truth table to determine whether the two statements are equivalent.\r<BR>\n" );
document.write( "\n" );
document.write( "&#8764;(q &#8594; p) &#8744; r, (p &#8744; q) &#8743; &#8764; r </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265491 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> _____ &#8764;(q &#8594; p) &#8744; r, (p &#8744; q) &#8743; &#8764; r<BR>\n" );
document.write( " <BR>\n" );
document.write( "p q r | <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "0 0 0 | 0 | 0<BR>\n" );
document.write( "0 0 1 | 1 | 0<BR>\n" );
document.write( " <BR>\n" );
document.write( "hence the statement are not equivalent. In words : <BR>\n" );
document.write( " <BR>\n" );
document.write( "suppose r is true, then the first statement is true for any p, q, and the 2nd wrong for any p,q too, hence the statement are not equivalent.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );