document.write( "Question 450586: If the statement is true for all integer values of p and q,
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document.write( "explain why. If it isn’t true, give a counterexample.\r
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document.write( "a. /p/is positive. ( with straight lines though not /)
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document.write( "b. -q is negative.
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document.write( "c. If p is the opposite of q, p+q=0\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #310178 by richard1234(7193) You can put this solution on YOUR website! a: |p| is positive is not always true. Note that p could equal 0, and |0| = 0, which is not positive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b: -q is negative is also not always true, since q could be negative. For example, if q = -1, then -q = -(-1) = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c: This must always be true. If p = -q, then p + q = (-q) + q = 0 (for all values p,q with p = -q) \n" ); document.write( " |