Answer:
-3/2 ≤ x < 5
Explanation:
Solve it separately
That turns into this: 2x - 3 < x + 2 and x + 2 ≤ 3x + 5
2x - 3 < x + 2
subtract x from both sides
x - 3 < 2
add 3
x < 5
x + 2 ≤ 3x + 5
Subtract 3x from both sides
-2x + 2 ≤ 5
subtract 2 from both sides
-2x ≤ 3
divide both sides by -2
x ≥ -3/2
From this we can see that this equation is -3/2 ≤ x < 5