Define a relation on N×N as follows: (a, b)R(c,d) ⇐⇒ a+d = b+c . Is (3,6)R(3,5)? Explain why. Prove that R is an equivalence relation and list 3 elements that belong to the equivalence class [(1,2)].

Define a relation on N×N as follows: (a, b)R(c,d) ⇐⇒ a+d = b+c . Is (3,6)R(3,5)? Explain why. Prove that R is an equivalence relation and list 3 elements that belong to the equivalence class [(1,2)].

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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