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GO Classes Set Theory And Algebra Practice Set 1 | Question: 22
Given the relation $R=\{(n, m)|n, m \in \mathbb{Z}| n,|\neq| m \mid\}$. Which of the following statements about $R$ is correct? $R$ is not an equivalence relation because it is not reflexive or ... relation because it is not antisymmetric $R$ is not an equivalence relation because it is not symmetric $R$ is an equivalence relation

GO Classes asked in Set Theory & Algebra May 28, 2023

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Equivalence relation
Q)Which of the following is not an equivalence relation on a set of all real numbers? A) R1 = { (a,b) / a-b is a integer } B) R2 = { (a,b) / a-b is divisible by 5 } C) R3 = { (a,b) / a-b is an odd number } D) R4 = { (a,b) / a-b is an even number }

Lakshman Bhaiya asked in Set Theory & Algebra Mar 10, 2018

by Lakshman Bhaiya

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Set Relation
Answer please explain the ans. R is antisymmetric then aRb, bRa -> a=b so a-b=0 and 0 is not odd positive then how it is antisymmetric?

Dilip Puri asked in Set Theory & Algebra Aug 11, 2017

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