Answer
The solution set is {x|1≤x≤3} or [1,3]. To graph you would place a bracket on 1 and 3 on the number line and connect them by a line.
Work Step by Step
|x-2|≤1
In order to solve, we set the equation up like this:
-1≤x-2≤1
-1+2≤x-2+2≤1+2
1≤x≤3
The solution set is {x|1≤x≤3} or [1,3]. To graph you would place a bracket on 1 and 3 on the number line and connect them by a line.