Question

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

Select each correct answer.



Responses

a (1, 3)
a begin ordered pair 1 comma 3 end ordered pair

b (−2, −14)
b begin ordered pair negative 2 comma negative 14 end ordered pair

c (3, 5)
c begin ordered pair 3 comma 5 end ordered pair

d (0, −5)
d begin ordered pair 0 comma negative 5 end ordered pair

e (−1, −9)

Answer 1

Compute y − 4x for each pair and compare to −6:

a. (1, 3): 3 − 4(1) = −1 → not ≤ −6
b. (−2, −14): −14 − 4(−2) = −14 + 8 = −6 → ≤ −6 (yes)
c. (3, 5): 5 − 4(3) = 5 − 12 = −7 → ≤ −6 (yes)
d. (0, −5): −5 − 0 = −5 → not ≤ −6
e. (−1, −9): −9 − 4(−1) = −9 + 4 = −5 → not ≤ −6

Correct answers: b and c.