Let A= .1,2,3. , then the relation R= .(.1,1.),(.1,2.),(.2,1.). on A is

Question

Let A= .1,2,3. , then the relation R= .(.1,1.),(.1,2.),(.2,1.). on A is (A) reflexive (B) transitive (C) symmetric (D) none of these

Tardigrade Admin · Accepted Answer

R is not reflexive as (.2,2.)∉ R,(.3,3.)∉ R Also, R is not transitive as (.2,1.) ∈ R and (.1,2.) ∈ R but (.2,2.)∉ R . However R is symmetric.

Q. Let $A = {1, 2, 3}$ , then the relation $R = {(1, 1), (1, 2), (2, 1)}$ on $A$ is