Question

Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)

Answer 1

The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

• For (–3, –2)

-2 < 0.5(-3) + 2

-2 < 0.5 (satisfied)

• For (–2, 1)

1 < 0.5(-2) + 2

1 < 1  (Not satisfied)

• For (–1, –2)

-2 < 0.5(-1) + 2

-2 < 1.5 (Satisfied)

• For (–1, 2)

2 < 0.5(-1) + 2

2 < 1.5 (Not satisfied)

• For (1, –2)

-2 < 0.5(1) + 2

-2 < 1.5 (Satisfied)

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