Question

solve the inequality and graph the solution. 18 ≤ 12f - 18 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Add 18 to both sides

$$18 + 18\leq12f-18 + 18$$
$$36\leq12f$$

Step2: Divide both sides by 12

$$\frac{36}{12}\leq\frac{12f}{12}$$
$$3\leq f$$

Answer:

The solution of the inequality is \(f\geq3\). On the number - line, we plot a closed circle at \(3\) (because the inequality is \(\geq\), so \(3\) is included in the solution set) and draw an arrow to the right (since \(f\) is greater than or equal to \(3\)).