Answer
The solution set is [-1,6].
Work Step by Step
|2x-5|+2≤9
First, we get the absolute value equation by itself by subtracting two from both sides.
|2x-5|+2-2≤9-2
|2x-5|≤7
Now, we make a new equation.
-7≤2x-5≤7
-7+5≤2x≤7+5
-2≤2x≤12
-2/2≤2x/2≤12/2
-1≤x≤6
The solution set is [-1,6].
