Question

A set of real numbers is graphed. Find an inequality involving an absolute value that describes the set.

Short answer

$|x-1|\le 3$

Step-by-step solution

Step 1. Determining the Graph.

The given Graph is

Step 2. Determining the inequality.

$-2\le x\le 4$

Step 3. Determining the inequality including the absolute values.

$-3\le x-1\le 3$

$-2\le x\le 4$

The corresponding absolute value inequality from the graph is

$|x-1|\le 3$