Answered: Let B={x∈R|x5∈Q} be a set. Is B…

Let B={x∈R|x5∈Q} be a set. Is B countable? Justify the answer by showing the explicit formula for the bijection (no need to prove bijectivity) or prove that no such bijection exists.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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Let B={x∈R|x5∈Q} be a set. Is B countable? Justify the answer by showing the explicit formula for the bijection (no need to prove bijectivity) or prove that no such bijection exists.

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