Question

Which ordered pairs are solutions to the inequality y − 4x ≤ −6?

Select each correct answer.

A.(1, 3)

B. (−2, −14)

C. (−1, −9)

D. (3, 5)

E. (0, −5)

Answer 1

b and d

Explanation:

Answer 2

Choice a:
The order pair given is (1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong

Choice b:
The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct

Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong

Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct

Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong