Question

5. Let A = {1, 2, 3} and consider the relation R = {(1, 3)}. Then R is
(a) transitive (b) symmetric
(c) reflexive (d) none of these

Answer 1

Step-by-step explanation:

reflexive : for a€A =(a,a) does not belong to R

R is not reflexive

symmetric : for(a,b)€r =(b,a) does not belong to R

for a=1 ,b=3 = (1,3)€r but (3,1) does not belong to R

R is not symmetric

transitive : it is not transitive as the relation R has (a,b) doesn't have (b,c)