–15≤–4–kSubmit

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

–15 ≤ –4 – k

First, we need to isolate k. We can do this by adding 4 to both sides of the inequality:

–15 + 4 ≤ –k

This simplifies to:

–11 ≤ –k

To make k positive, we multiply both sides by -1. Remember, when we multiply or divide an inequality by a negative number, we need to reverse the inequality sign:

11 ≥ k

So, the solution to the inequality –15 ≤ –4 – k is k ≤ 11.