Question

solve the inequality and graph the solution.
10 + 3n ≥ 4
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

$$10 + 3n-10\geq4 - 10$$
$$3n\geq - 6$$

Step2: Divide both sides by 3

$$\frac{3n}{3}\geq\frac{-6}{3}$$
$$n\geq - 2$$

Answer:

The solution of the inequality \(10 + 3n\geq4\) is \(n\geq - 2\). On the number - line, we plot a closed circle at \(-2\) (because the inequality is \(\geq\), so \(-2\) is included in the solution set) and draw a ray to the right.