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Is the set of all irrational numbers countable?

Lily Carter | 2023-06-09 02:52:26 | page views：1285
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Jackson Cooper

Works at Apple, Lives in Cupertino, CA
The set R of all real numbers is the (disjoint) union of the sets of all rational and irrational numbers. We know that R is uncountable, whereas Q is countable. If the set of all irrational numbers were countable, then R would be the union of two countable sets, hence countable.
2023-06-11 02:52:26
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Julian Hall

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The set R of all real numbers is the (disjoint) union of the sets of all rational and irrational numbers. We know that R is uncountable, whereas Q is countable. If the set of all irrational numbers were countable, then R would be the union of two countable sets, hence countable.
MA 355 Homework 2 solutions #1 Let A,B,C be sets and ... - CMU Math
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