Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Cumulative Review Exercises - Page 516: 8


$x\in \left[ 1,3 \right]$

Work Step by Step

We have to solve the given inequality for x: $\begin{align} & \left| 2x-4 \right|\le 2 \\ & \text{or,}\,\,-2\le (2x-4)\le 2\,\,\,\,\,\,\,\,\left[ \text{Recall that, for}\,\,\left| a \right|\le b\,\,\text{implies}\,\,-b\le a\le b \right] \\ & \text{or,}\,\,2\le 2x\le 6\,\,\,\,\,\,\, \\ & \text{or,}\,\,1\le x\le 3\, \end{align}$
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