document.write( "Question 325463: If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ? (True or False?)
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Algebra.Com's Answer #233048 by jim_thompson5910(35256) $\"\"$ $\"About$

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If p is true, but r is false, then

is false (both need to be true for it to be true).\r
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\n" ); document.write( "\n" ); document.write( "So

is then true (it's the opposite of false).\r
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\n" ); document.write( "\n" ); document.write( "Since

is true, and we're dealing with an 'or' operation, we don't need to worry about the truth value of q or ~q because

is automatically true.\r
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\n" ); document.write( "\n" ); document.write( "So on the flipside,

is false.\r
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\n" ); document.write( "\n" ); document.write( "So the entire expression is false. \n" ); document.write( "

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