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:
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 48
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