−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.