document.write( "Question 1019060: Use the De Morgan law that states:\r
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document.write( "~(p\/q) is equivalent to ~p V ~q to write an equivalent English state ment for the statement.\r
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document.write( "It is not true that apples and beets are both fruits. \n" );
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Algebra.Com's Answer #635091 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if you have trouble with the symbols, just write it out in english.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "demorgan's laws states:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "not (A or B) = not A and not B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "not (A and B) = not A or not B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your problem statement is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "~(p\/q) is equivalent to ~p V ~q to write an equivalent English state ment for the statement. \n" ); document.write( "It is not true that apples and beets are both fruits. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i translated this to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "not (p and q) is equivalent to not p or not q.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assuming that's true, then the english statement of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it is not true that apples and beets are both fruits\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "can also be stated as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it is not true that apples are not fruits or that beets are not fruits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this follows the form of demorgan's law shown above, that is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "not (A and B) = not A or not B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |