Q3 of 109 Page 1

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

∵ 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

More from this chapter

All 109 →
1

Let R be a relation on the set N given by R = {a, b) : a = b – 2, b > 6}. Then

 2

Which of the following is not an equivalence relation on Z?

 4

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = is given by

5

Let R be the relation over the set of all straight lines in a plane such that ℓ1 R ℓ2⬄ ℓ1⊥ ℓ2. Then, R is