Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 75


$\displaystyle \{x\in \mathbb{R}|\quad -\frac{11}{3} \leq x\leq-1\}$

Work Step by Step

The inequality $|x|\leq a$ means that $\quad -a\leq x\leq a$ $|3x+7|\leq 4$ $-4\leq 3x+7\leq 4\qquad$ ... subtract 7 $-11\leq 3x\leq-3\qquad$ ... divide with $3$ (positive, inequality signs remain) $-\displaystyle \frac{11}{3} \leq x\leq-1$ Solution set = $\displaystyle \{x\in \mathbb{R}|\quad -\frac{11}{3} \leq x\leq-1\}$
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