To solve the inequality 6(x−1)>−18, we need to isolate x on one side of the inequality. We can do this by dividing both sides of the inequality by 6, but since we're dividing by a negative number, we need to flip the inequality sign:
6(x−1)>−18
x - 1 > -3
Adding 1 to both sides of the inequality gives us:
x > -2
Therefore, the solution to the inequality is x > -2.