document.write( "Question 185647This question is from textbook A Survey of Mathematics with Application
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document.write( ": Construct a truth table for (~q^p) -> ~q\r
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document.write( "Can you please assist me wit this, i don't even know where to start.
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Algebra.Com's Answer #139245 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Note: the symbol '^' means \"and\", the '~' means \"not\" and '->' means \"implies\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Remember, a ^ b is ONLY true if BOTH a and b are true (otherwise it is false)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For ~a, simply negate any true statements to get a false (and vice versa)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, keep in mind that a -> b (a implies b) is only false if \"a\" is true but \"b\" is false.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here's the basic outline of the table, let me know if you need me to go in depth for any column\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "p | q | ~q | ~q ^ p | (~q ^ p) -> ~q\r\n" ); document.write( "----------------------------------------------------\r\n" ); document.write( "T | T | F | F | T\r\n" ); document.write( "T | F | T | T | T\r\n" ); document.write( "F | T | F | F | T\r\n" ); document.write( "F | F | T | F | T\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |