Solve the inequality. Write the solution in set-builder notation.
-3x-4≤-19
To solve the inequality, we can isolate the variable x by adding 4 to both sides:
-3x-4+4 ≤ -19+4
-3x ≤ -15
Next, divide both sides by -3, remembering to reverse the inequality sign since we are dividing by a negative number:
(-3x)/(-3) ≥ (-15)/(-3)
x ≥ 5.
Therefore, the solution in set-builder notation is:
{x | x ≥ 5}.