Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Section 6.1 The Inverse Sine, Cosine, and Tangent Functions - 6.1 Assess Your Understanding - Page 476: 81

Answer

$[-\frac{2}{3},2]$

Work Step by Step

$|3x-2|+5\le9 \Longrightarrow |3x-2|\le4 \Longrightarrow -4\le 3x-2\le4 \Longrightarrow -2\le 3x\le6 \Longrightarrow -\frac{2}{3}\le x\le2$ or $[-\frac{2}{3},2]$
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