Question

Which ordered pairs are solutions to the inequality?

y<−4x+11
Answers:
A) (-4, -11)
B) (-1, 5)
C) (0, 0)
D) (2, 3)

Answer 1

To determine the solutions to the inequality y < -4x + 11, we substitute the x and y values of each ordered pair and check if the inequality is true. The valid solutions are (-4, -11), (-1, 5), and (0, 0).

Step-by-step explanation:

To determine which ordered pairs are solutions to the inequality y < -4x + 11, we need to substitute the x and y values of each ordered pair into the inequality and check if the inequality is true. Let's check each ordered pair:

1. A) (-4, -11): -11 < -4(-4) + 11 -> -11 < 16 + 11 -> -11 < 27. This is true, so A is a valid solution.
2. B) (-1, 5): 5 < -4(-1) + 11 -> 5 < 4 + 11 -> 5 < 15. This is true, so B is a valid solution.
3. C) (0, 0): 0 < -4(0) + 11 -> 0 < 0 + 11 -> 0 < 11. This is true, so C is a valid solution.
4. D) (2, 3): 3 < -4(2) + 11 -> 3 < -8 + 11 -> 3 < 3. This is false, so D is not a valid solution.

Therefore, the valid solutions to the inequality are

A) (-4, -11)

,

B) (-1, 5)

, and

C) (0, 0)

.