SOLUTION: (x+7/x-2) < 0 I can't figure out what to do here, thanks for your help.

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Question 1019515: (x+7/x-2) < 0
I can't figure out what to do here, thanks for your help.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
More likely you mean (x+7)/(x-2)<0.
Rendering tags make it appear %28x%2B7%29%2F%28x-2%29%3C0.

Look for where the left expression is negative or less than 0.
The critical values of x are -7 and +2. The intervals on the x-numberline to check are these:
-infinity%3Cx%3C-7
and
-7%3Cx%3C2
and
2%3Cx%3Cinfinity.

You can pick values inside each interval to check which intervals satisfy and which do not the inequality.