Question

solve the inequality and graph the solution on the line provided.
8 - 4x > -4
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Subtract 8 from both sides

$$\begin{align*} 8-4x-8&>-4 - 8\\ -4x&>-12 \end{align*}$$

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 \(x = 3\) (because \(x\) is not equal to 3) and shade the line to the left of 3 (towards the negative direction) since \(x\) is less than 3.