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question solve the inequality and graph the solution on the line provid…

Question

question solve the inequality and graph the solution on the line provided. -2x - 4 > 10 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: click and drag to plot line. submit answer

Explanation:

Step1: Add 4 to both sides

$$\begin{align*} -2x - 4+4&>10 + 4\\ -2x&>14 \end{align*}$$

Step2: Divide both sides by - 2 and reverse the inequality sign

$$\begin{align*} \frac{-2x}{-2}&<\frac{14}{-2}\\ x&<-7 \end{align*}$$

Answer:

Inequality Notation: \(x < - 7\)

For the number line: Plot an open circle at \(-7\) (because the inequality is strict, \(x
eq - 7\)) and draw an arrow to the left (since \(x\) is less than \(-7\)).