Question

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

Select each correct answer.



Responses

a (−1, −9)
a begin ordered pair negative 1 comma negative 9 end ordered pair

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

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

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

e (1, 3)

Answer 1

First rewrite: y − 4x ≤ −6 ⇒ y ≤ 4x − 6.

Test each pair:

a. (-1, −9): −9 ≤ 4(−1) − 6 = −10? No (−9 > −10).
b. (0, −5): −5 ≤ 4(0) − 6 = −6? No (−5 > −6).
c. (−2, −14): −14 ≤ 4(−2) − 6 = −14? Yes (equal).
d. (3, 5): 5 ≤ 4(3) − 6 = 6? Yes.
e. (1, 3): 3 ≤ 4(1) − 6 = −2? No.

Correct answers: c and d.