Answer
x= [-17/2, -1]
Work Step by Step
First we separate into two inequalities,
A: 2x+5/3 ≥-4
B: 2x+5/3 ≤ 1
Then we solve,
A: 2x+5≥(-4x3)
2x+5≥-12
2x≥-12-5
2x≥-17
x≥-17/2
B: 2x+5 ≤ 1x3
2x≤ 3-5
2x≤ -2
x≤ -2/2
x≤ -1
So, if x≤ -1 and x≥-17/2, the intersection is x=[-17/2,-1]