Denial of Existence/Examples/x less than or equal to 3

Examples of Denial of Existence
Let $S \subseteq \R$ be a subset of the real numbers.

Let $P$ be the statement:
 * $\exists x \in S: x \le 3$

The negation of $P$ is the statement written in its simplest form as:
 * $\forall x \in S: x > 3$