The problem is to solve the inequality $6 \le 3n$ for $n$. We are also given a potential solution $n=4$. We need to verify this is correct.

1. Problem Description

The problem is to solve the inequality $6 \le 3n$ for $n$. We are also given a potential solution $n=4$. We need to verify this is correct.

2. Solution Steps

We have the inequality $6 \le 3n$. To solve for $n$, we need to isolate $n$ on one side of the inequality. We can do this by dividing both sides of the inequality by

3.

$6 \le 3n$

$\frac{6}{3} \le \frac{3n}{3}$

$2 \le n$

$n \ge 2$

The solution to the inequality is $n \ge 2$. Now, let's test the given value, $n = 4$.

If $n = 4$, then $3n = 3(4) = 12$.

Since $6 \le 12$, the value $n=4$ is a valid solution because $4 \ge 2$. In fact, any value of $n$ greater or equal to 2 is a valid solution.

3. Final Answer

$n \ge 2$ and $n=4$ is one possible solution.