Which points are solutions to the linear inequality y < 0.5x + 2? check all that apply.
(-3, -2), (-2, 1), (-1, -2), (-1, 2), (1, -2), (1, 2)

Solution:

The given linear inequality is

y < 0.5x + 2

Point 1 - (-3, -2)

By substituting it

-2 < 0.5 (-3) + 2

-2 < 0.5 is true

So (-3, -2) is a solution of the inequality

Point 2 - (-2, 1)

By substituting it

1 < 0.5 (-2) + 2

1 < 1 is false

So (-2, 1) is not a solution of the inequality

Point 3 - (-1, -2)

By substituting it

-2 < 0.5 (-1) + 2

-2 < 1.5 is true

So (-1, -2) is a solution of the inequality

Point 4 - (-1, 2)

By substituting it

2 < 0.5 (-1) + 2

2 < 1.5 is false

So (-1, 2) is not a solution of the inequality

Point 5 - (1, -2)

By substituting it

-2 < 0.5 (1) + 2

-2 < 2.5 is true

So (1, -2) is a solution of the inequality

Point 6 - (1, 2)

By substituting it

2 < 0.5 (1) + 2

2 < 2.5 is true

So (1, 2) is a solution of the inequality

Therefore, the solutions to the inequality are (-3, -2), (-1, -2), (1, -2) and (1, 2).

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Which points are solutions to the linear inequality y < 0.5x + 2? check all that apply.

Summary:

The solutions to the linear inequality y < 0.5x + 2 are (-3, -2), (-1, -2), (1, -2) and (1, 2).