Which of the following values are solutions to the inequality -8 - 3x ≥ 2?

Question

I. - 2
Il. - 12
II. 5

Answer 1

To find which values are solutions to the inequality, we substitute each value into the inequality and see if it is true or false.

I. -2
-8 - 3(-2) ≥ 2
-8 + 6 ≥ 2
-2 ≥ 2
This is false.

II. -12
-8 - 3(-12) ≥ 2
-8 + 36 ≥ 2
28 ≥ 2
This is true.

III. 5
-8 - 3(5) ≥ 2
-8 - 15 ≥ 2
-23 ≥ 2
This is false.

So, the value -12 is the only solution to the inequality.