Question 588279
<TABLE BORDER=1>
<TR>
  <TD>p</TD>
  <TD>q</TD>
  <TD>~q</TD>
  <TD>~q ^ p</TD>
  <TD>p --> (~q ^ p)</TD>
</TR>
<TR>
  <TD>T</TD>
  <TD>T</TD>
  <TD>F</TD>
  <TD>F</TD>
  <TD>F</TD>
</TR>
<TR>
  <TD>T</TD>
  <TD>F</TD>
  <TD>T</TD>
  <TD>T</TD>
  <TD>T</TD>
</TR>
<TR>
  <TD>F</TD>
  <TD>T</TD>
  <TD>F</TD>
  <TD>F</TD>
  <TD>T</TD>
</TR>
<TR>
  <TD>F</TD>
  <TD>F</TD>
  <TD>T</TD>
  <TD>F</TD>
  <TD>T</TD>
</TR>
</TABLE>


Notes: 

1) ~p is the opposite of p. So if p is true, then ~p is false

2) p ^ q is only true if both p and q are true. Otherwise, p ^ q is false.

3) p --> q is only false if both p is true and q is false. Otherwise, p --> q is true.



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