document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588459>Question 588459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> construct a truth table for the following:<BR>\n" );
document.write( "1. ~p-> q<BR>\n" );
document.write( "2. ~(p->q) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374510 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >p</TD>\r\n" );
document.write( "  <TD >q</TD>\r\n" );
document.write( "  <TD >~p</TD>\r\n" );
document.write( "  <TD >~p -> q</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "\r\n" );
document.write( "\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "========================================================================\r<BR>\n" );
document.write( "\n" );
document.write( "# 2\r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >p</TD>\r\n" );
document.write( "  <TD >q</TD>\r\n" );
document.write( "  <TD >p -> q</TD>\r\n" );
document.write( "  <TD >~(p -> q)</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "  <TD >T</TD>\r\n" );
document.write( "  <TD >F</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "\n" );
document.write( "</TABLE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notes:\r<BR>\n" );
document.write( "\n" );
document.write( "1) ~p is the opposite of p. So if p is true, then ~p is false. If p is false, then ~p is true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2) p -> q is only false when both p is true and q is false. Otherwise, p -> q is true. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );