Question

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

8 - 4w > - 4

answer attempt 1 out of 10

< > ≤ ≥ w

inequality notation:

number line:

touch and drag to plot line.

submit answer

Explanation:

Step1: Subtract 8 from both sides

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

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

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

$$\begin{align*} \frac{-4w}{-4}&<\frac{-12}{-4}\\ w&<3 \end{align*}$$

Answer:

Inequality Notation: \(w < 3\)

To graph on the number - line: Place an open circle at \(3\) (because \(w = 3\) is not included in the solution) and draw an arrow to the left (towards the smaller numbers) since \(w\) is less than \(3\).