Answer
$[-8,-5/2)$
Work Step by Step
1. move all terms to one side: $\frac{x-3}{2x+5}-1=\frac{x-3-2x-5}{2x+5}=\frac{-x-8}{2x+5}$
$f(x)=-\frac{x+8}{2x+5}\geq0$
2. make a table of signs as shown.
3. The solution is $[-8,-5/2)$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 3 - Section 3.7 - Polynomial and Rational Inequalities - 3.7 Exercises - Page 316: 27
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