Question

solve the inequality and graph the solution on the line pre
-8 - 4x > -16
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Add 8 to both sides

$$\begin{align*} -8 - 4x+8&>-16 + 8\\ -4x&>-8 \end{align*}$$

Step2: Divide both sides by -4 (and reverse the inequality sign)

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

Answer:

Inequality Notation: \(x < 2\)

For the number line: Draw an open circle at \(2\) (since \(x\) is not equal to \(2\)) and shade the line to the left of \(2\) (because \(x\) is less than \(2\)).