Let A ={74, 77, 83, 89, 92, 112, 119, 134, 148} and R be an equivalence relation defined on A where aRbif and only if a = b mod 5.Show the partition of A defined by the equivalence classes of R.

Given A={74,77,83,89,92,112,119,134,148} For a∈A class of a=[a]={x∈A : xRa }={ x∈A : x≡a mod 5 } ={…

Answered: Let A = {74, 77, 83, 89, 92, 112, 119,…

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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Let A = {74, 77, 83, 89, 92, 112, 119, 134, 148} and R be an equivalence relation defined on A where aRb if and only if a = b mod 5. Show the partition of A defined by the equivalence classes of R.