Answered: Let S = {m ∈ N | 1 ≤ n ≤ 10} in R =…

Let S = {m ∈ N | 1 ≤ n ≤ 10} in R = {(m, n) ∈ S×S | 3|m−n}. Is R an equivalence relation? If yes, determine the corresponding equivalence classes

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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Discrete math

Let S = {m ∈ N | 1 ≤ n ≤ 10} in R = {(m, n) ∈ S×S | 3|m−n}. Is R an equivalence
relation? If yes, determine the corresponding equivalence classes and the factor set.

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