document.write( "Question 1108514: construct a truth table for (~p \/ q) /\ ~r \n" ); document.write( "
Algebra.Com's Answer #723649 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
First do this:\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "   T    T      T\r\n" );
document.write( "   T    T      F\r\n" );
document.write( "   T    F      T\r\n" );
document.write( "   T    F      F\r\n" );
document.write( "   F    T      T\r\n" );
document.write( "   F    T      F\r\n" );
document.write( "   F    F      T\r\n" );
document.write( "   F    F      F \r\n" );
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document.write( "Then get the ~ just before a letter\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "  FT    T     FT\r\n" );
document.write( "  FT    T     TF\r\n" );
document.write( "  FT    F     FT\r\n" );
document.write( "  FT    F     TF\r\n" );
document.write( "  TF    T     FT\r\n" );
document.write( "  TF    T     TF\r\n" );
document.write( "  TF    F     FT\r\n" );
document.write( "  TF    F     TF \r\n" );
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document.write( "Erase the ones that we have already finished with\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "  F     T     F\r\n" );
document.write( "  F     T     T\r\n" );
document.write( "  F     F     F\r\n" );
document.write( "  F     F     T\r\n" );
document.write( "  T     T     F\r\n" );
document.write( "  T     T     T\r\n" );
document.write( "  T     F     F\r\n" );
document.write( "  T     F     T \r\n" );
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document.write( "Now put the ones under the V\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "  F  T  T     F\r\n" );
document.write( "  F  T  T     T\r\n" );
document.write( "  F  F  F     F\r\n" );
document.write( "  F  F  F     T\r\n" );
document.write( "  T  T  T     F\r\n" );
document.write( "  T  T  T     T\r\n" );
document.write( "  T  T  F     F\r\n" );
document.write( "  T  T  F     T\r\n" );
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document.write( "Erase the ones we've used:\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "     T        F\r\n" );
document.write( "     T        T\r\n" );
document.write( "     F        F\r\n" );
document.write( "     F        T\r\n" );
document.write( "     T        F\r\n" );
document.write( "     T        T\r\n" );
document.write( "     T        F\r\n" );
document.write( "     T        T\r\n" );
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document.write( "Now put the ones under the /\\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "     T     F  F\r\n" );
document.write( "     T     T  T\r\n" );
document.write( "     F     F  F\r\n" );
document.write( "     F     F  T\r\n" );
document.write( "     T     F  F\r\n" );
document.write( "     T     T  T\r\n" );
document.write( "     T     F  F\r\n" );
document.write( "     T     T  T \r\n" );
document.write( "\r\n" );
document.write( "Erase the ones we've used:\r\n" );
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document.write( " (~p \/ q) /\ ~r\r\n" );
document.write( "           F   \r\n" );
document.write( "           T   \r\n" );
document.write( "           F   \r\n" );
document.write( "           F   \r\n" );
document.write( "           F   \r\n" );
document.write( "           T   \r\n" );
document.write( "           F   \r\n" );
document.write( "           T    \r\n" );
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document.write( "Edwin
\r
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