The problem is to solve the inequality $4n \ge 20$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $4n \ge 20$ and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality for $n$. To do this, we divide both sides of the inequality by 4:

$4n \ge 20$

$\frac{4n}{4} \ge \frac{20}{4}$

$n \ge 5$

The solution to the inequality is $n \ge 5$. This means that $n$ can be any number greater than or equal to

5.

To graph the solution on a number line, we need to plot a closed circle (since the inequality includes "equal to") at 5 and then draw an arrow extending to the right, indicating all numbers greater than

5.

3. Final Answer

The solution to the inequality is $n \ge 5$. The graph should have a closed circle at 5 with an arrow pointing to the right.