Question

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

Select each correct answer.




a. (−6, 0)

b. (0, −3)

c. (−5, −1)

d. (−16, 2)

e. (−1, −2)

Answer 1

To find whether each solution is a solution to the ineqiality, we need to plug it into the equation.

Let's try the first one:

-6 + 3(0)>=-8
-6 + 0 >= -8
-6 >= -8
This is true, therefore this is a solution.

0 + 3(-3)>=-8
-9 >= -8
No, this is not a solution.

-5 + 3(-1) >= -8
-5 + -3 >= -8
-8 >= -8
Yes, this is a solution.

-16 + 3(-2) >= -8
-16 + -6 >= -8
-22 >= -8

No, this is not a solution.

-1 + 3(-2) >= -8
-1 + -6 >= -8
-7 >= -8

Yes, this is a solution.

Answer: a, c, and e are solutions.

Hope this helps!