Question

work and answer: graph the solution set of the inequality. 3x + 12 > 18

Explanation:

Step1: Subtract 12 from both sides

$$\begin{align*} 3x+12-12&>18 - 12\\ 3x&>6 \end{align*}$$

Step2: Divide both sides by 3

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

Answer:

The solution of the inequality \(3x + 12>18\) is \(x > 2\). On the number - line, we draw an open circle at \(x = 2\) (because \(x=2\) is not included in the solution set) and draw an arrow to the right of \(2\) to represent all the values of \(x\) that are greater than \(2\).