Denial of Universality/Examples
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Examples of Denial of Universality
Example: $\forall x \in S: x \le 3$
Let $S \subseteq \R$ be a subset of the real numbers.
Let $P$ be the statement:
- $\forall x \in S: x \le 3$
The negation of $P$ is the statement written in its simplest form as:
- $\exists x \in S: x > 3$