Answer
Interval: $(-\infty,\ -2]\ \cup\ [0,\ \infty)$
Work Step by Step
$|x+1|\geq 1$
We split the absolute value into the positive and negative:
$x+1\geq 1$
$x\geq 0$
$x+1\leq-1$
$x\leq-2$
Interval: $(-\infty,\ -2]\ \cup\ [0,\ \infty)$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 - Page 153: 29
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