Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.3 - Graphing Linear Functions - Exercise Set: 61

Answer

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

Work Step by Step

We are given that $|3x-4|\leq2$, so we know that $3x-4\leq2$ and $3x-4\geq-2$. We can solve these equations to find solutions for x. For $3x-4\leq2$, add 4 to both sides. $3x\leq6$ Divide both sides by 3. $x\leq2$ For $3x-4\geq-2$, add 4 to both sides. $3x\geq2$ Divide both sides by 3. $x\geq\frac{2}{3}$
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