document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=642269>Question 642269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Let p(x), q(x) denote the following open statements.<BR>\n" );
document.write( "p(x): x &#8804; 3 q(x): x + 1 is odd<BR>\n" );
document.write( "If the universe consists of all integers, what are the truth values<BR>\n" );
document.write( "of the following statements?<BR>\n" );
document.write( "a) q(1) b) ¬p(3) c) p(7) &#8744; q(7)<BR>\n" );
document.write( "d) p(3) &#8743; q(4) e) ¬(p(&#8722;4) &#8744; q(&#8722;3))<BR>\n" );
document.write( "f ) ¬p(&#8722;4)&#8743;¬q(&#8722;3)<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 #404054 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=404054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "q(1) means\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "q(1): 1+1 is odd\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "q(1): 2 is odd\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which is FALSE\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Also\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "¬p(x) means\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "¬p(x): x is NOT less than or equal to 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "¬p(x): x is greater than 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "¬p(3): 3 is greater than 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which is FALSE </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );