Q. 295.0( 1 Vote )

Consider the non- A. symmetric but not transitive

B. transitive but not symmetric

C. neither symmetric nor transitive

D. both symmetric and transitive

Answer :

Given that, relation R is defined as aRb if a is brother of b


Now,


aRa a is brother of a, which is not true.


(a,a) R


R is not reflexive


aRb a is brother of b but this does not mean that b is brother of a,b can be sister of a.


Thus, (a,b) R (b,a) R


R is not symmetric.


aRb a is brother of b and bRc b is brother of c


a is a brother of c.


R is transitive.


Hence, R is transitive but not symmetric.

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