−4f−8≥

5f−2

First, let's isolate f on one side of the equation.

To do this, we can add 4f to both sides of the equation:

−4f - 8 + 4f ≥ 5f - 2 + 4f

The −4f and the 4f on the left side cancel each other out, leaving us with:

-8 ≥ 5f - 2 + 4f

Simplifying the right side of the equation, we have:

-8 ≥ 9f - 2

Next, let's isolate the constant terms on one side of the equation.

We can add 2 to both sides of the equation:

-8 + 2 ≥ 9f - 2 + 2

Which simplifies to:

-6 ≥ 9f

Finally, let's solve for f by dividing both sides of the equation by 9:

-6/9 ≥ 9f/9

Which simplifies to:

-2/3 ≥ f

Therefore, the solution to the inequality is f ≤ -2/3.