Question

solve the inequality and graph the solution.
10 + 2w ≥ 2
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 10 from both sides

$$10 + 2w-10\geq2 - 10$$
$$2w\geq - 8$$

Step2: Divide both sides by 2

$$\frac{2w}{2}\geq\frac{-8}{2}$$
$$w\geq - 4$$

Answer:

The solution of the inequality \(10 + 2w\geq2\) is \(w\geq - 4\). On the number - line, we have a closed circle at \(w = - 4\) (because the inequality is \(\geq\)) and the ray extends to the right.