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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 > -64
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation: x
number line:
submit answer

Explanation:

Step1: Add 16 to both sides

$$8x-16 + 16> -64 + 16$$
$$8x> - 48$$

Step2: Divide both sides by 8

$$\frac{8x}{8}>\frac{-48}{8}$$
$$x>-6$$

Answer:

Inequality Notation: \(x > - 6\)

On the number - line, we draw an open circle at \(-6\) (because the inequality is strict, \(x
eq - 6\)) and shade to the right of \(-6\) since \(x\) is greater than \(-6\).