Question

Which values from this set {−12, −9, −3, 0, 3, 6} satisfy this inequality?

−13x + 3 ≥ 6
a. -12 and -9 only
b. 0, 3, and 6 only
c. -12 -9 and -3 only
d. -9, -3, 0, 3, 6, only

Answer 1

The values from the set {−12, −9, −3, 0, 3, 6} that satisfy the inequality −13x + 3 ≥ 6 are −12, −9, and −3 only after solving the inequality and comparing with the set values.

Step-by-step explanation:

To determine which values from the set {−12, −9, −3, 0, 3, 6} satisfy the inequality −13x + 3 ≥ 6, we need to solve the inequality first. Starting with the inequality:

−13x + 3 ≥ 6

Subtract 3 from both sides:

−13x ≥ 3

Divide both sides by −13 (and remember to reverse the inequality because we are dividing by a negative number):

x ≤ −0.23

Now we compare the numbers in the set to determine which are less than or equal to −0.23. The numbers in the set that meet this condition are:

• −12
• −9
• −3

So the answer to the question is c. −12, −9, and −3 only.