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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 7 + 8…

Question

solve the inequality and graph the solution on the line provided.
7 + 8x > -9
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
click and drag to plot line.

Explanation:

Step1: Subtract 7 from both sides

$$7 + 8x-7> - 9-7$$
$$8x>-16$$

Step2: Divide both sides by 8

$$\frac{8x}{8}>\frac{-16}{8}$$
$$x > - 2$$

Answer:

Inequality Notation: \(x > - 2\)

For the number - line:

  • Place an open circle at \(x = - 2\) (because the inequality is \(>\), not \(\geq\)).
  • Shade the line to the right of \(x=-2\) since \(x\) is greater than \(-2\).