Chapter 2 - Cumulative Review - Page 196: 13

$1 \le x \le 3$ Refer to the image below for the graph.

Work Step by Step

RECALL: $|x| \le a \longrightarrow \color{blue}{-a \le x \le a}$ Use the rule above to obtain: $-1 \le x-2 \le 1$ Add $2$ to each part of the inequality to obtain: $\begin{array}{ccccc} &-1+2&\le &x-2+2 &\le &1+2 \\&1 &\le &x &\le &3\end{array}$ To graph the inequality, plot the points at $1$ and $3$, then shade the region in between them.

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