Question

solve the inequality and graph the solution
2(f - 5) < 6
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: Divide both sides by 2

$$\frac{2(f - 5)}{2}<\frac{6}{2}$$
$$f - 5<3$$

Step2: Add 5 to both sides

$$f-5 + 5<3 + 5$$
$$f<8$$

Answer:

The solution is \(f<8\). On the number - line, we plot an open circle at \(8\) (since \(f = 8\) is not included in the solution) and draw a ray to the left of \(8\) (because \(f\) is less than \(8\)).