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: 31

Answer

Interval: $(-\infty,\ -2]\cup\ [1,\ \infty)$

Work Step by Step

$|2x+1|\geq 3$ We split the absolute value into the positive and negative: $2x+1\geq 3$ $2x\geq 2$ $x\geq 1$ $2x+1\leq-3$ $2x\leq-4$ $x\leq-2$ Interval: $(-\infty,\ -2]\cup\ [1,\ \infty)$
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