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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 2x - …

Question

solve the inequality and graph the solution on the line provided.
2x - 7 > -15
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 7 to both sides

$$2x-7 + 7> - 15+7$$
$$2x>-8$$

Step2: Divide both sides by 2

$$\frac{2x}{2}>\frac{-8}{2}$$
$$x > - 4$$

Answer:

Inequality Notation: \(x > - 4\)

On the number - line, we draw an open circle at \(-4\) (because the inequality is strict, i.e., \(x
eq - 4\)) and draw an arrow to the right of \(-4\) to represent all the values of \(x\) that are greater than \(-4\).