College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding: 75

Answer

$a=-15$ and $b=-7$

Work Step by Step

We are given: $|x+4|\leq 2$ $-2\leq x+4\leq 2$ We subtract $4$: $-6\leq x\leq-2$ And multiply by $2$: $-12\leq 2x\leq-4$ And subtract $3$: $-15\leq 2x-3\leq-7$ Therefore: $a=-15$ and $b=-7$
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