Question

solve the inequality and graph the solution on the line provided. -6 - 4x < 6 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Add 6 to both sides

$$\begin{align*} -6 - 4x+6&<6 + 6\\ -4x&<12 \end{align*}$$

Step2: Divide both sides by - 4 and reverse the inequality sign

$$\begin{align*} \frac{-4x}{-4}&>\frac{12}{-4}\\ x&>- 3 \end{align*}$$

Answer:

Inequality Notation: \(x > - 3\)

On the number - line: Plot an open circle at \(-3\) (because the inequality is strict, i.e., \(x
eq - 3\)) and draw an arrow to the right (since \(x\) is greater than \(-3\)).