Question

Which ordered pairs are solutions to the inequality y − 4x ≤ − 6? A. (0, -5)

B. (2, -8)
C. (-3, 5)
D. (1, -7)

Answer 1

The solutions to the inequality y − 4x ≤ − 6 are ordered pairs (0, -5) and (1, -7).

Step-by-step explanation:

To determine which ordered pairs are solutions to the inequality y − 4x ≤ − 6, we can substitute the x and y values from each pair into the inequality and check if the inequality holds true.

Let's check each ordered pair:

• (0, -5): -5 - 4(0) = -5 ≤ -6 (true)
• (2, -8): -8 - 4(2) = -8 - 8 = -16 ≤ -6 (false)
• (-3, 5): 5 - 4(-3) = 5 + 12 = 17 ≤ -6 (false)
• (1, -7): -7 - 4(1) = -7 - 4 = -11 ≤ -6 (true)

Therefore, the solutions to the inequality are ordered pairs (0, -5) and (1, -7), so the answer is A. (0, -5) and (1, -7).