document.write( "Question 1036454: If p is false and q is true, determine the truth value of the following:
\n" ); document.write( " a) ~(p ^ q)
\n" ); document.write( " b) p v ~q
\n" ); document.write( " c) ~(p → q)
\n" ); document.write( " d) ~p → q
\n" ); document.write( " e) p ↔ ~q\r
\n" ); document.write( "\n" ); document.write( "-------
\n" ); document.write( "Use truth tables to determine if p → q is identical (equivalent) to ~p v q. \n" ); document.write( "
Algebra.Com's Answer #651120 by Edwin McCravy(20055)\"\" \"About 
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\n" ); document.write( "If p is false and q is true, determine the truth value of the following:
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\r\n" );
document.write( "a)      ~(p ^ q) = ~(F ^ T) =  ~(F) = T\r\n" );
document.write( "b)	 p v ~q  =   F v ~T = F v F = F \r\n" );
document.write( "c)      ~(p → q) = ~(F → T) =  ~(F) = T\r\n" );
document.write( "d)      ~p → q   =   ~F → T = T → T = T\r\n" );
document.write( "e)	p ↔ ~q   =   F ↔ ~T = F ↔ F = T  \r\n" );
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document.write( "~ is T when followed by F and vice-versa.\r\n" );
document.write( "^ is T only when it has a T on each side of it, otherwise it's F\r\n" );
document.write( "v is T unless it has 2 F's on each side of it.\r\n" );
document.write( "→ is T unless it is a case of T→F \r\n" );
document.write( "

\n" ); document.write( "Use truth tables to determine if p → q is identical (equivalent)
\n" ); document.write( "to ~p v q
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\r\n" );
document.write( "p  q  ~p  ~p v q |  p → q\r\n" );
document.write( "-----------------|-------\r\n" );
document.write( "T  T   F     T   |    T      \r\n" );
document.write( "T  F   F     F   |    F \r\n" );
document.write( "F  T   T     T   |    T\r\n" );
document.write( "F  F   T     T   |    T\r\n" );
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document.write( "They are equivalent because both their truth tables go TFTT.\r\n" );
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document.write( "Edwin
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