Question
Give an example of an infinite closed set in R which contains no rational numbers. Is there a non-empty open set containing no rationals?
Give an example of an infinite closed set in R which contains no rational numbers. Is there a non-empty open set containing no rationals? Show that A is open iff A = A and A is closed iff A = A.
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The set of all irrational numbers in R is an example of an infinite closed set in R without any rati...
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Algebra and Trigonometry
Authors: Ron Larson
10th edition
9781337514255, 1337271179, 133751425X, 978-1337271172
