Let S = {x | 6x – 1 € Q} and T be the - set of all odd integers. Prove that S and T have the same cardinality (no need to prove bijectivity of functions). Do not use the Schroder-Bernstein Theorem.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 13E: 13. Let Z denote the set of all integers, and let Prove that .
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Let S = {x | 6x – 1 E Q} and T be the
-
set of all odd integers. Prove that S and T
have the same cardinality (no need to
prove bijectivity of functions). Do not use
the Schroder-Bernstein Theorem.
Transcribed Image Text:Let S = {x | 6x – 1 E Q} and T be the - set of all odd integers. Prove that S and T have the same cardinality (no need to prove bijectivity of functions). Do not use the Schroder-Bernstein Theorem.
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