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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -11 +…

Question

solve the inequality and graph the solution on the line provided. -11 + 4x > -39 answer attempt 1 out of 2 < > ≤ ≥ inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line.

Explanation:

Step1: Add 11 to both sides

$$\begin{align*} -11 + 4x+11&>-39 + 11\\ 4x&>-28 \end{align*}$$

Step2: Divide both sides by 4

$$\begin{align*} \frac{4x}{4}&>\frac{-28}{4}\\ x&>-7 \end{align*}$$

Answer:

Inequality Notation: \(x > - 7\)

For the number - line: Place an open circle at \(-7\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.