–15+5f>–6(–f+1)

Sure, let's solve the inequality step by step:

–15 + 5f > –6(–f + 1)

First, distribute the -6 on the right side of the inequality:

–15 + 5f > 6f - 6

Next, let's get all the f terms on one side and the constants on the other. Subtract 5f from both sides:

-15 > f - 6

Then, add 6 to both sides:

-15 + 6 > f

Simplify the left side:

-9 > f

So, the solution to the inequality is f < -9.