Solve the inequality. Write the solution in set-builder notation.
-3x-12≥-18
-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}