document.write( "Question 1170589: Truth tables\r
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document.write( "Use a truth table to show that:
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document.write( " ~(π β π) β‘ πβ§βΌπ
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Algebra.Com's Answer #795495 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "~(πβπ) β‘ πβ§βΌπ\r\n" ); document.write( "\r\n" ); document.write( "π|π|πβπ|~(πβπ)|βΌπ|πβ§βΌπ|~(πβπ)β‘πβ§βΌπ|\r\n" ); document.write( "T|T| T |F |F | F | T |\r\n" ); document.write( "T|F| F |T |T | T | T | \r\n" ); document.write( "F|T| T |F |F | F | T |\r\n" ); document.write( "F|F| T |F |T | F | T |\r\n" ); document.write( "\r\n" ); document.write( "This is true in all 4 cases, so it's called a tautology\".\r\n" ); document.write( "\r\n" ); document.write( "Rules (You should learn them).\r\n" ); document.write( " \r\n" ); document.write( "~ means to change what follows ~ to F if it's T, and to T if it's F.\r\n" ); document.write( "\r\n" ); document.write( "β means to put T in all cases except when there's a T on the left of β and an F on the right of β.\r\n" ); document.write( "\r\n" ); document.write( "β‘ means to put a T if the same letter (T or F) is on both sides of β‘.\r\n" ); document.write( "\r\n" ); document.write( "β§ means to put an F unless there are T's on both sides, then you put T.\r\n" ); document.write( "\r\n" ); document.write( "v means to put a T unless there are F's on both sides, then you put F (There were none of these v in this problem.)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |