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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.