Question

1. - 4 < 2x < 8

solve each inequality and graph its solution.

Explanation:

Step1: Divide each part by 2

$$\begin{align*} \frac{-4}{2}&<\frac{2x}{2}<\frac{8}{2}\\ \end{align*}$$

Step2: Simplify the inequality

$$ -2 < x < 4 $$

Answer:

The solution of the inequality is \(-2 < x < 4\). On the number - line, we draw an open circle at \(x = - 2\) (because \(x
eq - 2\)) and another open circle at \(x = 4\) (because \(x
eq4\)), and then connect the two open circles with a line segment.