Question

solve the inequality and graph the solution.
8 ≥ 4w
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Divide both sides by 4

$$\frac{8}{4}\geq\frac{4w}{4}$$

Step2: Simplify

$$2\geq w$$
which can be rewritten as \(w\leq2\).

To graph \(w\leq2\):

• Plot a closed endpoint at \(2\) (since the inequality is \(\leq\), the endpoint is included).
• Draw an arrow to the left (because \(w\) is less than or equal to \(2\)).

Answer:

The solution of the inequality \(8\geq4w\) is \(w\leq2\). On the number - line, there is a closed circle at \(2\) and an arrow pointing to the left.