Question

solve the inequality and graph the solution.
3f ≥ 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 3

$$3f\geq6$$
$$\frac{3f}{3}\geq\frac{6}{3}$$

Step2: Simplify

$$f\geq2$$

To graph \(f\geq2\) on the number - line:

• Place a closed circle at \(f = 2\) (because the inequality is \(\geq\), which includes the value \(2\)).
• Draw a ray to the right of \(2\) (since \(f\) is greater than or equal to \(2\)).

Answer:

The solution of the inequality \(3f\geq6\) is \(f\geq2\). On the number - line, there is a closed circle at \(2\) and a ray extending to the right.