Question

Which ordered pairs are solutions to the inequality x+3y≥−8?

Select each correct answer.



Responses

a (−16, 2)
a begin ordered pair negative 16 comma 2 end ordered pair

b (−6, 0)
b begin ordered pair negative 6 comma 0 end ordered pair

c (−5, −1)
c begin ordered pair negative 5 comma negative 1 end ordered pair

d (−1, −2)
d begin ordered pair negative 1 comma negative 2 end ordered pair

e (0, −3)
e begin ordered pair 0 comma negative 3 end ordered pair

Answer 1

Check x + 3y for each:

a. −16 + 3(2) = −16 + 6 = −10 (not ≥ −8) → no
b. −6 + 3(0) = −6 (≥ −8) → yes
c. −5 + 3(−1) = −8 (≥ −8) → yes
d. −1 + 3(−2) = −7 (≥ −8) → yes
e. 0 + 3(−3) = −9 (not ≥ −8) → no

Correct: b, c, d.