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 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set: 107

Answer

$-2\le x \le \dfrac{3}{5}$

Work Step by Step

Using the properties of inequality, then \begin{array}{l}\require{cancel} -3\le 5x+7 \le 10 \\\\ -3-7\le 5x+7-7 \le 10-7 \\\\ -10\le 5x \le 3 \\\\ -\dfrac{10}{5}\le \dfrac{5x}{5} \le \dfrac{3}{5} \\\\ -2\le x \le \dfrac{3}{5} .\end{array}
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