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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 - 16 > -26

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Add 16 to both sides

$$\begin{align*} 2x-16 + 16&>-26+16\\ 2x&>-10 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2x}{2}&>\frac{-10}{2}\\ x&>-5 \end{align*}$$

Answer:

Inequality Notation: \(x > - 5\)

To graph on the number - line: Place an open circle at \(-5\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.