Question

solve the inequality and graph the solution. f - 1 ≤ 2 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality

Add \(1\) to both sides of \(f - 1\leq2\).
$$f-1 + 1\leq2 + 1$$
$$f\leq3$$

Step2: Graph the solution

On the number - line, since \(f\leq3\), we use a closed circle at \(3\) (because the inequality includes equality, i.e., \(f = 3\) is part of the solution) and draw a ray to the left of \(3\) (because \(f\) can be any number less than \(3\)).

Answer:

The solution of the inequality \(f - 1\leq2\) is \(f\leq3\). On the number - line, there is a closed circle at \(3\) and a ray extending to the left.