Closed Statement/Examples
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Examples of Closed Statements
True Statement
The statement:
- $\exists x \in \Z: x^2 + 2 = 11$
is a closed statement that is true, as it is satisfied by the integers $x = 3$ and $x = -3$.
False Statement
The statement:
- $\exists x \in \R: x^2 = -1$
is a closed statement that is false, as it is satisfied by no real number $x$.