To solve the inequality, we can subtract $\frac13$ from both sides to get $\frac{n}{7} < \frac{2}{3}$.
Then, we can multiply both sides by 7 to get $n < \frac{14}{3}$.
The largest whole number value of $n$ that satisfies this inequality is $\boxed{4}$.
The answer is: 4
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the largest whole number value of $n$ that makes the following inequality true? $$\frac13 + \frac{n}7 < 1$$

### Answer:
