We defined the relation between sets by A ~ B means that there there is a 1-1 correspondence ƒ : A → B Show that ~ is symmetric and transitive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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6.
We defined the relation
~ between sets by
A ~ B means that there there is a 1-1 correspondence f : A → B
Show that ~ is symmetric and transitive.
Transcribed Image Text:6. We defined the relation ~ between sets by A ~ B means that there there is a 1-1 correspondence f : A → B Show that ~ is symmetric and transitive.
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