document.write( "Question 292931: If a < 0 < b, then which of the following expressions is equal to
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document.write( "|a - b| + |a + b| ?\r
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document.write( "(A) 2a + 2b (B) 2a - 2b (C) 2a (D) 4b (E) 0\r
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Algebra.Com's Answer #211469 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If a < 0 < b, then which of the following expressions is equal to \n" ); document.write( "|a - b| + |a + b| ? \n" ); document.write( "---------------------------- \n" ); document.write( "Since b is greater than a, b-a>0 and a-b is a negative number. \n" ); document.write( "Therefore |a-b| = -(a-b) = b-a \n" ); document.write( "--- \n" ); document.write( "Also, even though b is greater than a, we don't \n" ); document.write( "know if a+b is positive or negative (b could be 1 and a could be -1000) \n" ); document.write( "--- \n" ); document.write( "So |a+b| = a+b or it might equal -(a+b) \n" ); document.write( "----- \n" ); document.write( "If |a+b| = a+b the problem becomes (b-a)+(a+b) = 2b \n" ); document.write( "--- \n" ); document.write( "If |a+b| = -(a+b) the problem becomes (b-a)-(a+b) = -2a+2b \n" ); document.write( "------------------------ \n" ); document.write( "I don't like any of the answers listed below. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========================== \n" ); document.write( " \n" ); document.write( "(A) 2a + 2b (B) 2a - 2b (C) 2a (D) 4b (E) 0 \n" ); document.write( " \n" ); document.write( " |