Answer:
Options (1), (3), and (5)
Step-by-step explanation:
In the figure attached,
An inequality has been graphed and the shaded region shows its solutions.
Inequality : y < 0.5x + 2
If the given points in the options lie in the shaded region, point will satisfy the inequality.
For (3, -2)
-2 < 0.5(3) + 2
-2 < 3.5 [True]
Therefore, (3, -2) point is the solution.
For (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1 [Not true]
Therefore, (-2, 1) is not the solution.
For (-1, -2)
-2 < 0.5(-1) + 2
-2 < 1.5 [True]
Therefore, (-1, -2) is the solution.
For (-1, 2)
2 < 0.5(-1) +2
2 < 1.5 [Not True]
Therefore, (-1, 2) is not the solution.
For (1, -2)
-2 < 0.5(1) + 2
-2 < 2.5 [True]
Therefore, (1, -2) is the solution.
Options (1), (3) and (5) will be the answer.
