document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766230>Question 766230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> construct a truth table to determine whether the two statements are equivalent\r<BR>\n" );
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document.write( "a->~b, b->~a\r<BR>\n" );
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document.write( "I have so far I do not know the answer for the question marks\r<BR>\n" );
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document.write( "a  b  a->~b                                                      \r<BR>\n" );
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document.write( "T  T   ?                          <BR>\n" );
document.write( "T  F   ?                          <BR>\n" );
document.write( "F  T   ?                             <BR>\n" );
document.write( "F  F   ?   <BR>\n" );
document.write( "F  F   ?\r<BR>\n" );
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document.write( "a  b  b->~a<BR>\n" );
document.write( "T  T   ?                          <BR>\n" );
document.write( "T  F   ?                          <BR>\n" );
document.write( "F  T   ?                             <BR>\n" );
document.write( "F  F   ?   <BR>\n" );
document.write( "F  F   ?\r<BR>\n" );
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document.write( "are they equivalent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466815 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "a  b  a->~b                                                      \r<BR>\n" );
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document.write( "T  T   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F ALIGN=MIDDLE  ALT=\"F\"   DISABLED_style= \"max-width:90%; height:auto;\" >                          <BR>\n" );
document.write( "T  F   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >                          <BR>\n" );
document.write( "F  T   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+ ALIGN=MIDDLE  ALT=\"T+\"   DISABLED_style= \"max-width:90%; height:auto;\" >                           <BR>\n" );
document.write( "F  F   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <BR>\n" );
document.write( "F  F   ?....this one is repeating,it is same as previous one\r<BR>\n" );
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document.write( "a  b  b->~a<BR>\n" );
document.write( "T  T   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F ALIGN=MIDDLE  ALT=\"F\"   DISABLED_style= \"max-width:90%; height:auto;\" >                          <BR>\n" );
document.write( "T  F   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >                          <BR>\n" );
document.write( "F  T   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >                             <BR>\n" );
document.write( "F  F   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "F  F   ?\r<BR>\n" );
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document.write( "so, they are equivalent </SPAN>\n" );
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