Let (R) be a relation defined on the set (Z) of all integral... | Mathematics | SolveeIt | Solveeit

Today, August 20

Question

Let $R$ be a relation defined on the set $Z$ of all integers and $xRy$ when $x + 2y$ is divisible by $3$ . Then

A

$R$ is not transitive

B

$R$ is symmetric only

C

$R$ is an equivalence relation

D

$R$ is not an equivalence relation

Answer

$R$ is an equivalence relation

Explanation

Solution

Answer (c) $R$ is an equivalence relation