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It means that the boundaries of the set are not included in the set.

For example, consider the set of numbers that are bigger than 1 and smaller than 2. The set is bounded by 1 and 2 but neither of these belong to the set.

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12y ago

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Is the set of real numbers is an open set?

Yes.


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In mathematics, when a set is uncountable, it means that it has a cardinality greater than that of the set of natural numbers. For example, the set of real numbers is uncountable because there is no bijection between it and the set of natural numbers. It implies that the set is infinite and dense in some sense.


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