Let f: A → B be a surjective function. We define the relation ~ on A by x ~ y ⇒ f (x) =f(y).(a) Prove that is an equivalence relation.(b) Find a bijection from A/~ to B.

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Answered: f(y). (a) Prove that is an (b) Find a…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 7CA

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f(y). (a) Prove that is an (b) Find a bijection from A/~ to B. equivalence relation.