Please help me with the proof with step by step clear explanation please.. Let’s define a relation ≡2 on Z by letting a ≡2 b if a−b is even. Show that the relation ≡2 is reflexive, symmetric, and transitive.

Please help me with the proof with step by step clear explanation please.. Let’s define a relation ≡2 on Z by letting a ≡2 b if a−b is even. Show that the relation ≡2 is reflexive, 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 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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