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 $x$.