Question

Which values from this set {-12, -9, -3, 0, 3, 6} satisfy this inequality: -22 + 3 > 6?

a) -9, -3, 0, 3, and 6 only
b) 0, 3, and 6 only
c) -12, -9, and -3 only
d) -12 and -9 only

Answer 1

Values 0, 3, and 6 from the set {-12, -9, -3, 0, 3, 6} satisfy the inequality -22 + 3 > 6, as all these numbers are greater than -19, the result of the left side of the inequality.

Step-by-step explanation:

We are asked to identify which values from the set {-12, -9, -3, 0, 3, 6} satisfy the inequality -22 + 3 > 6. First, let's solve the inequality:

-22 + 3 > 6

-19 > 6

This inequality states that any number greater than -19 would satisfy the condition. Looking at the set provided, all values except for -12 satisfy this inequality because they are all greater than -19. Therefore, the correct answer is:

b) 0, 3, and 6 only