Question

The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)

(1, 1)
(-3, 4)
(-2, 2)
(5, -2)

Answer 1

Your answer would be A and B

Explanation:

Answer 2

First option: (1, 1)

Second option: (-3, 4)

Explanation:

Substitute each point into the inequality:

Point (1,1):

`x + 2y \geq3\\\\(1) + 2(1) \geq3\\\\3\geq3`

(The inequality is satisfied with this point)

Point (-3, 4):

`x + 2y \geq3\\\\(-3) + 2(4) \geq3\\\\5\geq3`

(The inequality is satisfied with this point)

Point (-2, 2):

`x + 2y \geq3\\\\(-2) + 2(2) \geq3\\\\2\geq3`

(The inequality is not satisfied with this point)

Point (5, -2):

`x + 2y \geq3\\\\(5) + 2(-2) \geq3\\\\1\geq3`

(The inequality is not satisfied with this point)