Question

solve the inequality and graph the solution.
13 < 5 + 4w
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 5 from both sides

$$13 - 5<5 + 4w-5$$
$$8<4w$$

Step2: Divide both sides by 4

$$\frac{8}{4}<\frac{4w}{4}$$
$$2 < w$$
Which can be written as \(w>2\)

Answer:

The solution of the inequality \(13 < 5 + 4w\) is \(w>2\). On the number - line, we have an open circle at \(w = 2\) (because the inequality is strict, i.e., \(w\) is not equal to 2) and a ray extending to the right of \(2\) towards positive infinity.