Question

solve the inequality and graph the solution. -16 ≥ 10 + 13f plot the endpoints. select an endpoint to change it from closed middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 10 from both sides

$$\begin{align*} -16-10&\geq10 + 13f-10\\ -26&\geq13f \end{align*}$$

Step2: Divide both sides by 13

$$\begin{align*} \frac{-26}{13}&\geq\frac{13f}{13}\\ - 2&\geq f \end{align*}$$

Answer:

The solution of the inequality is \(f\leq - 2\). On the number - line, we place a closed circle at \(-2\) (because the inequality is \(\geq\) and when we rewrite it as \(f\leq - 2\), the value \(f = - 2\) is included in the solution set) and draw a ray to the left of \(-2\) to represent all values of \(f\) that are less than or equal to \(-2\).