Answer
$(-\infty,2)\cup(5,+\infty)$
Work Step by Step
$(x-5)(x-2)(x+1)\gt0$
These are zero when x=5, 2 and x=-1. These numbers divide the real line into the intervals: $(-\infty,-1)(-1,2)(2,5)(5,+\infty) $
The diagram is as follows:
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