document.write( "Question 105115This question is from textbook
\n" ); document.write( ": ((x(x-1)) / (x^2+x-6)) <= 0 \n" ); document.write( "

Algebra.Com's Answer #76485 by MathLover1(20849) $\"\"$ $\"About$

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First find factors of $\"-6\"$ in order to simplify $\"x%5E2+%2B+x+-6\"$ .
\n" ); document.write( "These are:
\n" ); document.write( " $\"1\"$ , $\"2\"$ , $\"3\"$ , $\"6\"$ , $\"-1\"$ , $\"-2\"$ , $\"-3\"$ $\"-6\"$ \r
\n" ); document.write( "\n" ); document.write( "One of these pairs could be used, \r
\n" ); document.write( "\n" ); document.write( " $\"%28-1%29%2A%286%29=-6+\"$
\n" ); document.write( " $\"%28-2%29%2A%283%29=-6+\"$
\n" ); document.write( "and that will be a pair that multiply to $\"-6\"$ and add to $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "As we can see, $\"-2\"$ and $\"3\"$ add to $\"1\"$ . So the two numbers that multiply to $\"-6\"$ and add to $\"1\"$ are: $\"-2\"$ and $\"3\"$ .
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\n" ); document.write( "So,
\n" ); document.write( " $\"%28x%5E2+%2B+x-6%29%2F+%28x-2%29%28x%2B3%29%3C=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "Then we have:
\n" ); document.write( " $\"%28x%28x-1%29%29+%2F+%28x%5E2%2Bx-6%29+%3C=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%28x-1%29%29+%2F+%28x-2%29%28x%2B3%29+%3C=+0\"$ \r
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