Question

Which ordered pairs are solutions to the inequality y−2x≤−3 ?

Select each correct answer.

(0,-2)
(7,12)
(5,-3)
(1,-1)
(-6,-3)

Answer 1

Answer: (5, - 3) and (1, - 1)

Answer 2

(5, - 3) and (1, - 1)

Explanation:

To determine which ordered pairs are solutions.

Substitute the coordinates of the point into the left side of the inequality and compare this value with the right side.

(0, - 2)

- 2 - 0 = - 2 > - 3 ← not a solution

(7, 12)

12 - 14 = - 2 > - 3 ← not a solution

(5, - 3)

- 3 - 10 = - 13 < - 3 ← this is a solution

(1, - 1)

- 1 - 2 = 3 ≤ - 3 ← this is a solution

(- 6, - 3)

- 3 + 12 = 9 > 3 ← not a solution