Answer :
The point (3, -2)
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Insert each point into the inequality and see if it makes the inequality true.
For point (2, 3), if we plug it into the inequality:
- 3 < (-1/2)*2 + 2 ⇒ 3 < 1, which is false
For point (2, 1), if we plug it in:
- 1 < (-1/2)*2 + 2 ⇒ 1 < 1, which is false
For point (3, -2), if we plug it in:
- -2 < (-1/2)*3 + 2 ⇒ -2 < 0.5, which is true
For point (-1, 3), if we plug it in:
- 3 < (-1/2)*(-1)+ 2 ⇒ 3 < 2.5, which is false.
Thus, the point that satisfies the inequality is (3, -2).