Question

Which ordered pairs are solution(s) of y > 4x - 9? Select all that apply A (-1,3) B. (0, -9) C. (1.0) D. (2, 1)​

Answer 1

The ordered pairs that are solutions to the inequality y > 4x - 9 are (-1, 3), (1, 0), and (2, 1).

Step-by-step explanation:

The given inequality is y > 4x - 9. To determine which ordered pairs are solutions, substitute the x and y values from each pair into the inequality and check if the inequality holds true. Let's check each option:

• Option A (-1, 3): Substitute x = -1 and y = 3 in y > 4x - 9. 3 > 4(-1) - 9, 3 > -4 - 9, 3 > -13. This is true.
• Option B (0, -9): Substitute x = 0 and y = -9 in y > 4x - 9. -9 > 4(0) - 9, -9 > 0 - 9, -9 > -9. This is false.
• Option C (1, 0): Substitute x = 1 and y = 0 in y > 4x - 9. 0 > 4(1) - 9, 0 > 4 - 9, 0 > -5. This is true.
• Option D (2, 1): Substitute x = 2 and y = 1 in y > 4x - 9. 1 > 4(2) - 9, 1 > 8 - 9, 1 > -1. This is true.

Based on the calculations, the ordered pairs that are solutions to the inequality y > 4x - 9 are:

• Option A (-1, 3)
• Option C (1, 0)
• Option D (2, 1)

Answer 2

A.

C.

D.

Step-by-step explanation:

Use the x-coordinate in place of x and compare the solution to the y-coordinate. All of the answers to these options are true.

Hope it helps!