document.write( "Question 200576: Please answer the foloowing question:
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\n" ); document.write( "|x^2+2|x|+3|>4 \n" ); document.write( "

Algebra.Com's Answer #153552 by psbhowmick(878) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given equation: $\"abs%28x%5E2+%2B+2abs%28x%29+%2B+3%29+%3E+4\"$ \r
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\n" ); document.write( "\n" ); document.write( "Case 1: x > 0
\n" ); document.write( " $\"abs%28x%5E2+%2B+2x+%2B+3%29+%3E+4\"$
\n" ); document.write( " $\"abs%28%28x%2B1%29%5E2+%2B+2%29+%3E+4\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+%2B+2+%3E+4\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+%2B+2+-+4+%3E+4+-+4\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+-+2+%3E+0\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+-+%28sqrt%282%29%29%5E2+%3E+0\"$
\n" ); document.write( " $\"%28%28x%2B1%29+%2B+sqrt%282%29%29%2A%28%28x%2B1%29+-+sqrt%282%29%29+%3E+0\"$
\n" ); document.write( " $\"%28x%2B1%2Bsqrt%282%29%29%2A%28x%2B1-sqrt%282%29%29+%3E+0\"$
\n" ); document.write( " $\"x+=+sqrt%282%29+-+1\"$ [since the other solution is not feasible as x > 0]\r
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\n" ); document.write( "\n" ); document.write( "Case 2: x < 0
\n" ); document.write( " $\"abs%28x%5E2+-+2x+%2B+3%29+%3E+4\"$
\n" ); document.write( " $\"abs%28%28x-1%29%5E2+%2B+2%29+%3E+4\"$
\n" ); document.write( " $\"%28x-1%29%5E2+%2B+2+%3E+4\"$
\n" ); document.write( " $\"%28x-1%29%5E2+%2B+2+-+4+%3E+4+-+4\"$
\n" ); document.write( " $\"%28x-1%29%5E2+-+2+%3E+0\"$
\n" ); document.write( " $\"%28x-1%29%5E2+-+%28sqrt%282%29%29%5E2+%3E+0\"$
\n" ); document.write( " $\"%28%28x-1%29+%2B+sqrt%282%29%29%2A%28%28x-1%29+-+sqrt%282%29%29+%3E+0\"$
\n" ); document.write( " $\"%28x-1%2Bsqrt%282%29%29%2A%28x-1-sqrt%282%29%29+%3E+0\"$
\n" ); document.write( " $\"x+=+-sqrt%282%29+%2B+1\"$ [since the other solution is not feasible as x < 0] \n" ); document.write( "

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