Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b, Then R is
Answer & explanation
Correct answer: option 2
Given that a R b ⇒ a is brother of b.
This does not mean b is also brother of a as be can be a sister of a
Therefore, R is not symmetric
a R b ⇒ a is brother of b ⇒ & b R c ⇒ b is brother of c.
So, a is brother of c.
Thus, R is transitive.
So option 2 is correct, transitive but not symmetric.