Let R be a relation defined on N as a ⁡R⁡b if 2a+3b is a mul... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

Let R be a relation defined on N as a ⁡R⁡b if 2a+3b is a multiple of 5 ,a , b∈N. Then R is

A

transitive but not symmetric

B

an equivalence relation

C

not reflexive

D

symmetric but not transitive

Answer

an equivalence relation

Explanation

Solution

The Correct Option is (B): an equivalence relation