R is a relation on the set Z of integers and it is given by (x, y) ϵ R ⬄ |x – y| ≤ 1. Then, R is

Question

Philoid · Accepted Answer

∵ According to the condition |x – y| ≤ 1

⇒ R={(1,1),(2,1), (1,2), (2,2), … (n,n), (n+1,n), (n,n+1) …∞ }

⇒ (a,a) ∈ R → Reflexive

⇒ (a,b) ∈ R and (b,a) ∈ R →Symmetric