Question

Which ordered pairs are solutions to the inequality 2x+y>−4?

Select each correct answer.

(4, −12)
(−3, 0)
(5, −12)
(0, 1)
(−1, −1)

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

Select each correct answer.

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

Which inequality represents this situation?

Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.

2.25x+2.65y>8
2.25x+2.65y≥8
2.25x+2.65y<8
2.25x+2.65y≤8

Answer 1

The situation is represented by 2.25x + 2.65y ≥ 8 this is right just took the test

Answer 2

For (4, −12): 2(4) - 12 = 8 - 12 = -4 [false]
For (−3, 0): 2(-3) = -6 < -4 [false]
For (5, −12): 2(5) - 12 = 10 - 12 = -2 > -4 [true]
For (0, 1): 2(0) + 1 = 1 > -4 [true]
For (−1, −1): 2(-1) - 1 = -2 - 1 = -3 > -4 [true]
Therefore, (5, -12), (0, 1) and (-1, -1) satisfies the inequality 2x + y > -4

For (7, 12): 12 - 2(7) = 12 - 14 = -2 > -3 [false]
For (0, −2): -2 - 2(0) = -2 > -3 [false]
For (5, −3): -3 - 2(5) = -3 - 10 = -13 < -3 [true]
For (−6, −3): -3 - 2(-6) = -3 + 12 = 9 > -3 [false]
For (1, −1): -1 - 2(1) = -1 - 2 = -3 [true]
Therefore, (5, -3) and (1, -1) satisfy the inequality y - 2x ≤ -3

The situation is represented by 2.25x + 2.65y ≥ 8