Question

Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1,4), (4, 1)}. Then R is …..

(a) Reflexive 

(b) Symmetric 

(c) Transitive 

(d) Equivalence

Answer 1

(b) Symmetric

(4, 4} ∉ R ⇒ R is not reflexive 

(1, 4), (4, 1) ∈ R ⇒ R is symmetric 

(1, 4), (4, 1) ∈ R but (4, 4) ∉ R 

So R is not transitive