Question

solve the inequality and graph the solution on the line provided.
-18 + 5x > 12
answer attempt 1 out of 10
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 18 to both sides

$$\begin{align*} -18 + 5x+18&>12 + 18\\ 5x&>30 \end{align*}$$

Step2: Divide both sides by 5

$$\begin{align*} \frac{5x}{5}&>\frac{30}{5}\\ x&>6 \end{align*}$$

Answer:

Inequality Notation: \(x > 6\). On the number - line, we have an open circle at \(x = 6\) (because \(6\) is not included in the solution set) and an arrow pointing to the right (towards larger values of \(x\)).