Question

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

When dividing an inequality by a negative number, the inequality sign flips.

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

Answer:

Inequality Notation: \(x > - 3\)

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