Let A = {1, 2, 3} and consider the relation
R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.

Then R is

Question

Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}. Then R is

Philoid · Accepted Answer

Given that, A = {1, 2, 3} and

R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.

Now,

R is reflexive ∵ (1,1),(2,2),(3,3) ∈ R

R is not symmetric ∵ (1,2),(2,3),(1,3) ∈ R but (2,1),(3,2),(3,1) ∉ R

R is transitive ∵ (1,2) ∈ R and (2,3) ∈ R ⇒ (1,3) ∈ R

Thus, R is reflexive, transitive but not symmetric.

Hence, option ‘A’ is correct.

Let A = {1, 2, 3} and consider the relationR = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.Then R is