Question 1019515
More likely you mean  (x+7)/(x-2)<0.
Rendering tags make it appear {{{(x+7)/(x-2)<0}}}.


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<x<-7}}}
and
{{{-7<x<2}}}
and
{{{2<x<infinity}}}.


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