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solve the inequality and graph the solution on the line provided. -66 +…

Question

solve the inequality and graph the solution on the line provided. -66 + 6x > -42 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Add 66 to both sides

$$\begin{align*} -66 + 6x+66&>-42 + 66\\ 6x&>24 \end{align*}$$

Step2: Divide both sides by 6

$$\begin{align*} \frac{6x}{6}&>\frac{24}{6}\\ x&>4 \end{align*}$$

Answer:

Inequality Notation: \(x > 4\). On the number - line, we have an open circle at \(x = 4\) (since \(4\) is not included in the solution) and the line extends to the right of \(4\) towards positive infinity.