Given an example of a statement `P(n)` which is true for all `ngeq4` but `P(1),\ P(2)a n d\ P(3)` are not true. Justify your answer.

Explanation

To solve the problem, we need to provide a statement \( P(n) \) that holds true for all \( n \geq 4 \) but is false for \( n = 1, 2, \) and \( 3 \).

### Step-by-step Solution:

1. **Define the Statement**:
We can define the statement \( P(n) \) as:
\[
P(n): 2n < n!
...