Question

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

-4x - 46 < -38

answer attempt 1 out of 3

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Add 46 to both sides

$$\begin{align*} -4x-46 + 46&<-38 + 46\\ -4x&<8 \end{align*}$$

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 \(-2\) (because the inequality is strict, \(x
eq - 2\)) and shade to the right of \(-2\) since \(x\) is greater than \(-2\).