document.write( "Question 906047: How to solve inequalities with two absolute value. Is there any easy way? Kindly help me. Here's the question!\r
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Algebra.Com's Answer #549650 by MathTherapy(10552) $\"\"$ $\"About$

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How to solve inequalities with two absolute value. Is there any easy way? Kindly help me. Here's the question!\r
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document.write( "In most cases, you have to examine the absolute inequality. That's the easiest way.\r
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document.write( "Observing the absolute inequality, the ONLY time the left side is POSITIVE is when x = - 1. 
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document.write( "As a result, the right side would equal 3. Thus, the INEQUALITY will be false, as  IS NOT > . \r
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document.write( "Additionally, the left side is zero (0), when x = 0, and x = - 2. As a result, the right side
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document.write( "would equal 1 and 5, respectively. Thus, the INEQUALITY will be false, as  IS NEITHER > , NOR > . \r
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document.write( "Any other value for x makes the left-side NEGATIVE, while the right side will always be POSITIVE. \r
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document.write( "Therefore, NO SOLUTION exists for this absolute inequality.\r
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document.write( "You could have also subtracted 1 to get: . It's clear from this that the left side's GREATEST
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document.write( "value (0) occurs when x = - 1, which makes the right side, 2, and the inequality, FALSE. All other values for x
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document.write( "would result in the left side value being negative, or < 0. \n" );
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