Question

9. If the relation R on the set A = {1, 2, 3} is defined by R = {(1, 1), (2, 2), (3, 3), (2, 1), (3, 2), (1, 3)}, then determine whether the relation R is

Answer 1

Step-by-step explanation:

Set A = {1, 2, 3} and

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

(i) for reflexive

(1, 1) ∈ R,

(2, 2) ∈ R,

(3, 3) ∈ R

Hence R is reflexive.

for symmetric

(2,1)∈R but (1,2)∉R

(1,3)∈R but (3,1)∉R

(3,2)∈R but (2,3)∉R

Hence R is not symmetric.

It is not transitive relation because not

hold the condition of transitive.