Solve the inequality for x.
-5x + 24 > -6
Starting with -5x + 24 > -6, we want to isolate x on one side of the inequality by subtracting 24 from both sides and then dividing by -5:
-5x + 24 > -6
-5x > -30 (subtract 24 from each side)
x < 6 (divide both sides by -5 and reverse the inequality)
Therefore, the solution for x is x < 6.