Question

current skill solve and graph the following inequality: -2 < -9 - x < 5 inequality: graph: number line options

Explanation:

Step1: Add 9 to all parts

$$\begin{align*} -2+9&<-9 - x+9<5 + 9\\ 7&<-x<14 \end{align*}$$

Step2: Multiply all parts by -1 and reverse inequalities

$$\begin{align*} 7\times(-1)&>-x\times(-1)>14\times(-1)\\ -7&>x>-14 \end{align*}$$

Which can be written as $-14 < x < -7$.

Answer:

The solution of the inequality is $-14 < x < -7$. On the number - line, we draw an open circle at $x = - 14$ and $x=-7$, and shade the region between them.