Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.7 - Absolute Value Inequalities - Exercise Set - Page 105: 7

Answer

Interval Notation :$[-10,3]$ Graph:

Work Step by Step

$|2x+7| \leq 13$ Using an absolute inequality property, the given expression can be written as $-13 \leq 2x+7 \leq 13$ To solve inequality, add $-7$ to all parts, $-13-7 \leq 2x+7-7 \leq 13-7$ $-20 \leq 2x \leq 6$ Divide all parts by $2$, we get $-10 \leq x \leq 3$ In Interval Notation : $[-10,3]$
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