**Consider the non-empty set consisting of children in a family and a relation R defined as aRb … nor transitive (d) both symmetric…**

###### Answers:

(b) aRb ⇒ a is brother of b.

This does not mean b is also a brother of a as b can be a sister of a.

Hence, R is not symmetric.

aRb ⇒ a is brother of b.

and bRc ⇒ b is a brother of c.

So, a is brother of c. Hence, R is transitive.