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

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