document.write( "Question 1172392: Fins the solution set of the inequality 1/(x - 2) < 1/(x + 3)? \n" ); document.write( "
Algebra.Com's Answer #797424 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2F%28x+-+2%29+%3C+1%2F%28x+%2B+3%29\"\r\n" );
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document.write( "\"1%2F%28x+-+2%29+-+1%2F%28x+%2B+3%29+%3C+0\"\r\n" );
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document.write( "\"%28%28x+%2B+3%29-%28x+-+2%29%29%2F%28%28x+-+2%29%28x+%2B+3%29%29%3C0\"\r\n" );
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document.write( "\"%28x+%2B+3-x+%2B+2%29%2F%28%28x+-+2%29%28x+%2B+3%29%29%3C0\"\r\n" );
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document.write( "\"%285%29%2F%28%28x+-+2%29%28x+%2B+3%29%29%3C0\"\r\n" );
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document.write( "Since the numerator is positive, the denominator must be negative.\r\n" );
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document.write( "\"%28x+-+2%29%28x+%2B+3%29%3C0\"\r\n" );
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document.write( "The critical numbers and 2 and -3\r\n" );
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document.write( "test region   test value    (+ or -)?    < 0?  \r\n" );
document.write( " x < -3           -4            +          no\r\n" );
document.write( "-3 < x < 2         0            -         yes\r\n" );
document.write( "   x > 2           3            +          no\r\n" );
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document.write( "So the solution is -3 < x < 2 \r\n" );
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document.write( "Interval notation (-3, 2)\r\n" );
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document.write( "Edwin
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