1. The problem states: Find the whole number $k$ such that $k > 3$. 2. Since $k$ is a whole number greater than 3, the smallest possible value for $k$ is 4. 3. Whole numbers are non-negative integers starting from 0, so the set of whole numbers greater than 3 is $\{4, 5, 6, \ldots\}$. 4. Therefore, any whole number $k$ satisfying $k > 3$ must be $k \geq 4$. Final answer: $k \in \{4, 5, 6, \ldots\}$, i.e., any whole number greater than 3.