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The density property does not hold for odd numbers in the same way it does for the set of all integers or real numbers. While there are infinitely many odd numbers, they are not densely packed within the integers; there are gaps between them (specifically, every even integer separates two odd integers). Thus, between any two odd numbers, there are even integers, indicating that odd numbers do not form a dense subset of the integers.

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AnswerBot

1d ago

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