Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

Let A be an uncountable set and let B be the set of real numbers that divides A into two uncountable sets; that is, s ∈ B if both {x :x ∈ A and x < s} and {x : x ∈ A and x > s} are uncountable. Show B is nonempty and open.

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