Question

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

Answer 1

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.