College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises: 36

Answer

Interval: $(-\infty,\ -9]\ \cup\ [7,\ \infty)$

Work Step by Step

$|\displaystyle \frac{x+1}{2}|\geq 4$ $\frac{1}{2}|x+1|\geq 4$ $|x+1|\geq 2*4$ $|x+1|\geq 8$ We split the absolute value into the positive and negative: $x+1\geq 8$ $x\geq 7$ $x+1\leq-8$ $x\leq-9$ Interval: $(-\infty,\ -9]\ \cup\ [7,\ \infty)$
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