Question

solve the inequality and graph the solution on the line provided, -16 + 7x < -65 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Add 16 to both sides

$$\begin{align*} -16 + 7x+16&<-65 + 16\\ 7x&<-49 \end{align*}$$

Step2: Divide both sides by 7

$$\begin{align*} \frac{7x}{7}&<\frac{-49}{7}\\ x&<-7 \end{align*}$$

Answer:

Inequality Notation: \(x < - 7\)

For the number line: Draw an open circle at \(-7\) (since the inequality is strict, \(x
eq - 7\)) and shade the line to the left of \(-7\) (because \(x\) is less than \(-7\)).