Question

A relation R on set A = {1, 2, 3} is defined as R = {(1, 3), (3, 3), (1, 1), (2, 2), (3, 1} is ______.

Options

• only reflexive and symmetric

• reflexive only

• only reflexive and transitive

• reflexive, symmetric and transitive

Answer 1

A relation R on set A = {1, 2, 3} is defined as R = {(1, 3), (3, 3), (1, 1), (2, 2), (3, 1} is reflexive, symmetric and transitive.

Explanation:

A = {1, 2, 3}

Reflexive (x, x)

(1, 1), (2, 2), (3, 3) ∈ R

Symmetric 

(1, 3) ∈ R

(3, 1) ∈ R

Transitive

(1, 3) ∈ R

(3, 3) ∈ R