The inequality solved is -5 ≤ x ≤ 5/2, the graph is in the image at the end.
How to solve the compound inequality?
Here we just need to isolate the variable, our inequality is:
-3 ≤ (-2x - 1) / (-3) ≤ 2
First multiply both sides by -3, this will change the direction of both symbols, then we will get:
-3*-3 ≥ (-2x - 1) ≥ 2*-3
9 ≥ (-2x - 1) ≥ -6
Now add 1 in both sides :
9 + 1 ≥ -2x ≥ -6 + 1
10 ≥ -2x ≥ - 5
And divide by -2 both sides again, this changes the directono the symbols again:
10/-2 ≤ x ≤ -5/-2
-5 ≤ x ≤ 5/2
The graph of this inequality is in the image below.