document.write( "Question 88948: Let p represent a true statement, while q and r represent false statements. Fing the truth value of the compound statement.\r
\n" );
document.write( "\n" );
document.write( "a) (p^~q) ^ r\r
\n" );
document.write( "\n" );
document.write( "b) ~(q v ~r) \n" );
document.write( "
Algebra.Com's Answer #64668 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! a)\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(p^~q) ^ r\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(T^~F) ^ F Plug in the given truth values\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(T^T) ^ F Negate false (F) to get true (T)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(T) ^ F Use a truth table to evaluate T^T to get T\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "F Use a truth table to evaluate T^F to get F\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So (p^~q) ^ r is false\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b)\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " ~(q v ~r)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "~(F v ~F) Plug in the given truth values\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "~(F v T) Negate false (F) to get true (T)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "~(T) Use a truth table to evaluate F v T to get T\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "F Negate true (T) to get false (F) \r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So ~(q v ~r) is false \n" ); document.write( " |