2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalence relation on R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 53E
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2. Let R = {(1,b) ER X R: there is an integer k such that a - b = 2kn}. Prove that R is an
equivalence relation on R.
Transcribed Image Text:2. Let R = {(1,b) ER X R: there is an integer k such that a - b = 2kn}. Prove that R is an equivalence relation on R.
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