1. Show that if f is a bijection from a set X onto a set Y then f is a bijection from Y onto X.
1. Show that if f is a bijection from a set X onto a set Y then f is a bijection from Y onto X.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer 1,2, and 3 show your proof
Transcribed Image Text:1. Show that if f is a bijection from a set X onto a set Y
then f is a bijection from Y onto X.
2. Show that any subset of a countable set is countable.
3. Show that a nonempty set S is countable if there exists
a surjection from N onto S.
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