The problem asks us to solve the inequality $2 \le \frac{k}{3}$ and then graph the solution on a number line.

1. Problem Description

The problem asks us to solve the inequality $2 \le \frac{k}{3}$ and then graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality for $k$. To do this, we multiply both sides of the inequality by 3:

$2 \le \frac{k}{3}$

$3 \times 2 \le 3 \times \frac{k}{3}$

$6 \le k$

This can be written as:

$k \ge 6$

This means that $k$ is greater than or equal to

6. To graph this on the number line, we need a closed circle (or a filled-in circle) at 6, since $k$ can be equal to

6. We then draw an arrow to the right, indicating that $k$ can be any value greater than

6.

3. Final Answer

The solution to the inequality is $k \ge 6$.

On the number line, we should plot a closed circle at 6 and an arrow extending to the right.