Question

solve the inequality and graph the solution on the line provided.

-6 - 4x < 6

answer attempt 1 out of 10

< > ≤ ≥ or

inequality notation:

number line:

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: \(x > - 3\)

For the number line: Place an open circle at \(-3\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.