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Consider: $A = \{x \in \mathbb R \mid \exists n \in \mathbb N : 2n-1 < x < 2n \}$.

How to find minimum/maximum/infimum/supremum (when exists)? I can't imagine this set in my head, so it's hard for me to find those values.

Regards

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    $A$ is a set of real numbers $x$, that are strictly between an odd integer (2n - 1) and an even integer (2n).2011-11-04
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    @TheChaz: Note that integers could mean negative numbers as well.2011-11-04
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    @Asaf: So what you're saying (and this comment is obviously not for your benefit) is that the definition of $A$ involves *natural numbers*, but I have (carelessly) included negative integers in my comment. Agreed.2011-11-04

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