Question

solve and graph the following inequality: -4 - 2x > 2
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options

Explanation:

Step1: Add 4 to both sides

$$\begin{align*} -4 - 2x+4&>2 + 4\\ -2x&>6 \end{align*}$$

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

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

Answer:

The inequality is \(x < - 3\). On the number - line, we have an open circle at \(-3\) (since \(x=-3\) is not included in the solution set) and the line extends to the left (towards negative infinity).