Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 135: 88

Answer

The solution is $(-3,-1]$

Work Step by Step

$-1\lt2x+5\le3$ Subtract $5$ in all parts of the inequality: $-1-5\lt2x+5-5\le3-5$ $-6\lt2x\le-2$ Divide by $2$ on all parts of the inequality: $-\dfrac{6}{2}\lt\dfrac{2x}{2}\le-\dfrac{2}{2}$ $-3\lt x\le-1$ The solution is $(-3,-1]$
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