document.write( "Question 1033415: Let x, y, and z be nonzero real numbers. Find all possible values of\r
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Algebra.Com's Answer #648025 by Edwin McCravy(20056) $\"\"$ $\"About$

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$\"x%2Fabs%28x%29%2By%2Fabs%28y%29%2Bz%2Fabs%28z%29%2B%28xyz%29%2Fabs%28xyz%29\"$
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document.write( "Case 1. All three variables positive:  x>0, y>0, z>0\r\n" );
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document.write( "Case 2. Two of the variables positive, one negative\r\n" );
document.write( "By symmetry, it doesn't matter which one is negative,\r\n" );
document.write( "the answer will be the same.  Say, only y is negative:\r\n" );
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document.write( "x>0, y<0, z>0\r\n" );
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document.write( "Case 3. One of the variables positive, two negative\r\n" );
document.write( "Also by symmetry, it doesn't matter which one is positive,\r\n" );
document.write( "the answer will be the same.  Say, only x is positive \r\n" );
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document.write( "x>0, y<0, z<0\r\n" );
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document.write( "Case 4. All three negative:  x<0, y<0, z<0\r\n" );
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document.write( "In increasing order, separated by commas:\r\n" );
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document.write( "-4,0,4\r\n" );
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document.write( "Edwin

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