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To solve the inequality 12 - 6x > 24, we must isolate the variable x.
First, we subtract 12 from both sides of the inequality:
12 - 12 - 6x > 24 - 12
-6x > 12
Next, we divide both sides of the inequality by -6, remembering to reverse the inequality sign when dividing by a negative number:
(-6x) / -6 < 12 / -6
x < -2
Therefore, the solution set for the inequality 12 - 6x > 24 is x < -2.