document.write( "Question 979464: construct a truth table for p^(~p v q) \n" ); document.write( "
Algebra.Com's Answer #600725 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "p^(~p v q)\r\n" );
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document.write( "Put TTFF under the p's and TFTF under the q\r\n" );
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document.write( "p^(~p v q)\r\n" );
document.write( "T   T   T\r\n" );
document.write( "T   T   F\r\n" );
document.write( "F   F   T\r\n" );
document.write( "F   F   F\r\n" );
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document.write( "Under the ~ before the second p, put the opposite of what \r\n" );
document.write( "is under the second p and erase what was under the 2nd p\"\r\n" );
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document.write( "p^(~p v q)\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" );
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document.write( "Under the v, put F only if there are F's on BOTH sides of it,\r\n" );
document.write( "otherwise put T.  Then erase what is on both sides of it:\r\n" );
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document.write( "p^(~p v q)\r\n" );
document.write( "T     T  \r\n" );
document.write( "T     F  \r\n" );
document.write( "F     T  \r\n" );
document.write( "F     T  \r\n" );
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document.write( "Under the ^, put T only if there are T's on BOTH sides of it,\r\n" );
document.write( "otherwise put F.  Then erase what is on both sides of it:\r\n" );
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document.write( "p^(~p v q)\r\n" );
document.write( " T      \r\n" );
document.write( " F      \r\n" );
document.write( " F      \r\n" );
document.write( " F\r\n" );
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document.write( "So the truth table ends up TFFF, which means it's true only when\r\n" );
document.write( "both p and q are true, otherwise it's false.  \r\n" );
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document.write( "Edwin
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