Question

Let A = {1, 2, 3} and R = {(1, 2), (2, 3), (1, 3)} be a relation on A. Then, R is

A. neither reflexive nor transitive
B. neither symmetric nor transitive
C. transitive
D. none of these

Answer 1

C. transitive

∵ R = {(1, 2), (2, 3), (1, 3)} satisfying only the property of transitive relation.

i.e Its transitive i.e (a,b) ∈ R and (b,c) ∈ R → (a,c) ∈ R ∀

a,b,c ∈ A