Solve the inequality. Write the solution in​ set-builder notation.

Question

-3x-12≥-18

Answer 1

-3x - 12 ≥ -18

To solve this inequality, let's first add 12 to both sides:

-3x - 12 + 12 ≥ -18 + 12
-3x ≥ -6

Next, divide both sides by -3, remembering to flip the inequality symbol since we are dividing by a negative number:

-3x / -3 ≤ -6 / -3
x ≤ 2

Therefore, the set-builder notation for the solution is:
{x | x ≤ 2}