document.write( "Question 972466: abs(x+1)/abs(x-1)>=2 \n" ); document.write( "

Algebra.Com's Answer #594820 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28x%2B1%29%2Fabs%28x-1%29%3E=2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Absolute values are always positive.\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28x%2B1%29%3E=2%2Aabs%28x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2Aabs%28x-1%29-abs%28x%2B1%29%3C=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "Critical x values are -1 and 1.\r
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\n" ); document.write( "\n" ); document.write( "x less than or equal -1,
\n" ); document.write( "pick -2 as example,
\n" ); document.write( " $\"2%2Aabs%28-2-1%29-abs%28-2%2B1%29%3C=0\"$ ?
\n" ); document.write( " $\"2%2A3-1%3C=0\"$
\n" ); document.write( " $\"6-1%3C=0\"$ , FALSE\r
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\n" ); document.write( "\n" ); document.write( "x between -1 and 1,
\n" ); document.write( "pick 0,
\n" ); document.write( " $\"2%2Aabs%280-1%29-abs%280%2B1%29\"$
\n" ); document.write( " $\"2-1%3C=0\"$ , FALSE\r
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\n" ); document.write( "\n" ); document.write( "x greater than or equal 1,
\n" ); document.write( "pick 2
\n" ); document.write( " $\"2abs%282-1%29-abs%282%2B1%29%3C0\"$
\n" ); document.write( " $\"2-3%3C=0\"$
\n" ); document.write( " $\"-1%3C=0\"$ , TRUE.\r
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\n" ); document.write( "\n" ); document.write( "SOLUTION should be , $\"highlight%28x%3E=1%29\"$ . \n" ); document.write( "

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