Answer:
-1.5 ≤ x < 5
Step-by-step explanation:
The compound inequality resolves to two inequalities:
Solving these one at a time, we get ...
<u>2x -3 < x +2</u>
x < 5 . . . . . . . . add 3 - x to both sides
<u>x +2 ≤ 3x +5</u>
-3 ≤ 2x . . . . . . add -5-x to both sides
-1.5 ≤ x . . . . . . .divide by 2
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The compound inequality that combines these solutions is ...
-1.5 ≤ x < 5
