document.write( "Question 401391: Hi! Could you solve this inequalitiy and show me the steps please?\r
\n" ); document.write( "\n" ); document.write( " $\"2%2F%28-x%2B3%29%3C=2%2F%28-x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #284057 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%2Fx+-+2%2F%28x-3%29%3C=+0\"$ <==> $\"1%2Fx+-+1%2F%28x-3%29%3C=+0\"$
\n" ); document.write( "<==> $\"%28x+-+3+-+x%29%2F%28x%28x-3%29%29+%3C=+0\"$ ==> $\"1%2F%28x%28x-3%29%29+%3E=+0\"$
\n" ); document.write( "The critical numbers of the inequality are 0 and 3.
\n" ); document.write( "At the interval ( $\"-infinity\"$ , 0), $\"1%2F%28x%28x-3%29%29+%3E=+0\"$ .
\n" ); document.write( "At the interval (0,3), $\"1%2F%28x%28x-3%29%29+%3C+0\"$ .
\n" ); document.write( "At the interval (3, $\"infinity\"$ ), $\"1%2F%28x%28x-3%29%29+%3E=+0\"$ .
\n" ); document.write( "The critical numbers 0 and 3 don't satisfy the inequality.
\n" ); document.write( "Therefore the solution set is ( $\"-infinity\"$ , 0)U(3, $\"infinity\"$ ). \n" ); document.write( "

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