Answer
$ (-7,1)$
See graph.
Work Step by Step
Step 1. $6-|x+3|\ge2 \longrightarrow |x+3|\le4 \longrightarrow -4\lt x+3\lt4 \longrightarrow -7\lt x\lt1$, thus we have the solution $ (-7,1)$
Step 2. See graph.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 62
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