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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

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

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student

The correct answer is transitive but not symmetric
aRb⇒a is brother ofb.
This does not meanbis also a brother of a asbcan be a sister ofa.
Hence, R is not symmetric.
aRb⇒a is brother ofb.
and bRc⇒bis brother ofc.
So, a is brother of c.
Thus, R is transitive.


Thanks

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