Question

current skill solve and graph the following inequality: -6 < -9x + 8 < 2 inequality: graph: number line options

Explanation:

Step1: Subtract 8 from all parts

$$\begin{align*} -6 - 8&<-9x+8 - 8<2 - 8\\ -14&<-9x<-6 \end{align*}$$

Step2: Divide all parts by -9 (and reverse inequalities)

$$\begin{align*} \frac{-14}{-9}&>\frac{-9x}{-9}>\frac{-6}{-9}\\ \frac{14}{9}&>x>\frac{2}{3} \end{align*}$$

Answer:

The inequality is \(\frac{2}{3}