Question

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

Select each correct answer.



Responses

a (4, −20)
a begin ordered pair 4 comma negative 20 end ordered pair

b (0, −9)
b begin ordered pair 0 comma negative 9 end ordered pair

c (−1, −1)
c begin ordered pair negative 1 comma negative 1 end ordered pair

d (2, 0)
d begin ordered pair 2 comma 0 end ordered pair

e (−3, 6)

Answer 1

Check each pair in 4x + y > −6:

a) (4, −20): 4·4 + (−20) = 16 − 20 = −4, and −4 > −6 → True
b) (0, −9): 0 + (−9) = −9, and −9 > −6 → False
c) (−1, −1): 4(−1) + (−1) = −5, and −5 > −6 → True
d) (2, 0): 8 + 0 = 8, and 8 > −6 → True
e) (−3, 6): −12 + 6 = −6, and −6 > −6 → False (equal, not greater)

Correct answers: a, c, d.