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.