Question

graph the solution of this inequality: $-2x + 13 < 9$

Explanation:

Step1: Subtract 13 from both sides

$$\begin{align*} -2x+13 - 13&<9 - 13\\ -2x&<-4 \end{align*}$$

Step2: Divide both sides by -2 (and reverse the inequality sign)

$$\begin{align*} \frac{-2x}{-2}&>\frac{-4}{-2}\\ x&>2 \end{align*}$$

Answer:

On the number - line, we use an open - circle at \(x = 2\) (because \(x>2\) and \(2\) is not included in the solution set) and draw an arrow to the right.