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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 8x - …

Question

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

8x - 16 > -8

answer attempt 1 out of 3

inequality notation:

number line:

Explanation:

Step1: Add 16 to both sides

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

Step2: Divide both sides by 8

$$\begin{align*} \frac{8x}{8}&>\frac{8}{8}\\ x&>1 \end{align*}$$

Answer:

Inequality Notation: \(x > 1\)

For the number - line: Draw an open circle at \(x = 1\) (because the inequality is strict, \(x
eq1\)) and shade the line to the right of \(1\) to represent all values of \(x\) greater than \(1\).