Step 1 :The question is asking to solve the inequality -6x > 36.
Step 2 :To solve for x, we need to divide both sides of the inequality by -6.
Step 3 :However, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
Step 4 :So, the inequality becomes x < -6.
Step 5 :The solution to the inequality -6x > 36 is \(\boxed{x < -6}\).