Answer
$(-2,\frac{1}{7}]$
Work Step by Step
1. move items to one side $f(x)=\frac{3x+1}{x+2}-\frac{2}{3}=\frac{9x+3-2x-4}{3(x+2)}$
$f(x)=\frac{7x-1}{3(x+2)}\leq0$
2. cut points $x=-2,1/7 (0.14)$, make a table as shown.
3. Solution $(-2,1/7]$
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 - Review - Exercises - Page 322: 98
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