Question

solve the inequality and graph the solution on the line provided.

-2x - 76 > -66

answer

inequality notation:

number line:

Explanation:

Step1: Add 76 to both sides

$$\begin{align*} -2x-76 + 76&>-66 + 76\\ -2x&>10 \end{align*}$$

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

$$\begin{align*} \frac{-2x}{-2}&<\frac{10}{-2}\\ x&<-5 \end{align*}$$

Answer:

Inequality Notation: \(x < - 5\)

For the number line: Draw an open circle at \(-5\) (because the inequality is strict, \(x
eq - 5\)) and shade the line to the left of \(-5\) (since \(x\) is less than \(-5\)).