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

Question

Let R be a relation defined on \(\mathbb{N}\) as a R b is 2a + 3b is a multiple of 5, a, b ∈ \(\mathbb{N}\) . Then R is 

(1) not reflexive 

(2) transitive but not symmetric 

(3) symmetric but not transitive 

(4) an equivalence relation

Answer 1

(4) an equivalence relation

Hence relation is equivalence relation.