Answer:
-3/2 ≤ x < 5
Step-by-step explanation:
This resolves to two inequalities:
left
2x -3 < x+2
x < 5 . . . . . . . add 3-x to both sides
right
x +2 ≤ 3x +5
-3 ≤ 2x . . . . . subtract x+5 from both sides
-3/2 ≤ x
The solution is the compound inequality ...
-3/2 ≤ x < 5
