State True or False for the statements
The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

Question

State True or False for the statements The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

Philoid · Accepted Answer

False

Given that, A = {1, 2, 3} and R = {(1, 1), (1, 2), (2, 1), (3, 3)}

Now,

R is not reflexive ∵ (2,2) ∉ R

State True or False for the statementsThe relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

State True or False for the statements
The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.