document.write( "Question 550856: Please design a truth table for these problems. \r
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document.write( "~ ( ~ p Λ q ) V r\r
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document.write( "and \r
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document.write( "( p → q ) ↔ [ ( ~ p Λ q ) V p ]\r
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document.write( "I'm super confused on how I messed up! \n" );
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Algebra.Com's Answer #359184 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Rule for ~ \"T after it becomes F; F after it becomes T\" \r\n" ); document.write( "Rule for /\ \"T on both sides of it becomes T, otherwise F\"\r\n" ); document.write( "Rule for \/ \"F on both sides of it becomes F, otherwise T\"\r\n" ); document.write( "Rule for -> \"T on left of it and F on right of it becomes F, otherwise T\"\r\n" ); document.write( "Rule for <-> \"T on both sides of it or F on both sides of it becomes T, otherwise F\"\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "~(~pΛq)Vr \r\n" ); document.write( "\r\n" ); document.write( "p q r ~p (~p/\q) ~(~p/\q) ~(~p/\q)\/r \r\n" ); document.write( "T T T F F T T\r\n" ); document.write( "T T F F F T T\r\n" ); document.write( "T F T F F T T\r\n" ); document.write( "T F F F F T T\r\n" ); document.write( "F T T T T F T \r\n" ); document.write( "F T F T T F F\r\n" ); document.write( "F F T T F T T\r\n" ); document.write( "F F F T F T T\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and \r\n" ); document.write( "\r\n" ); document.write( "(p→q)↔[(~pΛq)Vp]\r\n" ); document.write( "\r\n" ); document.write( "p q ~p (p->q) (~p/\q) [(~p/\q)\/p] (p->q)<->[(~p/\q)\/p] \r\n" ); document.write( "T T F T F T F\r\n" ); document.write( "T F F F F T F\r\n" ); document.write( "F T T T T T T\r\n" ); document.write( "F F T T F F T\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |