Question

solve the inequality and graph the solution.
9s + 9 < -9
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: Subtract 9 from both sides

$$\begin{align*} 9s+9 - 9&<-9 - 9\\ 9s&<-18 \end{align*}$$

Step2: Divide both sides by 9

$$\begin{align*} \frac{9s}{9}&<\frac{-18}{9}\\ s&<-2 \end{align*}$$

Answer:

The solution of the inequality \(9s + 9<-9\) is \(s < - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, i.e., \(s
eq - 2\)) and draw an arrow to the left.