document.write( "Question 234607: solve x+7/x-2 < 0. \n" ); document.write( "

Algebra.Com's Answer #172991 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The fraction will be positive, or greater than zero whenever the signs in the numerator and denominator are the same, and the fraction will be less than zero whenever the signs are different.\r
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\n" ); document.write( "\n" ); document.write( "So

0\"> whenever

2\">, and

0\"> whenever

-7\">. Since

-7\">, both the numerator and denominator are positive -- and therefore the entire fraction is positive -- whenever

2\">.\r
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whenever

and

whenever

. Since

, both numerator and denominator are negative, and therefore the entire fraction is positive, whenever

.\r
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\n" ); document.write( "\n" ); document.write( "Now we can see that whenever

, the numerator of

will be positive and the denominator will be negative making the value of the entire fraction negative. Note that

is NOT in the solution set, because this value makes the value of the fraction exactly zero.\r
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\n" ); document.write( "\n" ); document.write( "John
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