Question

Let $A$ be the non-empty set of children in a family. The relation 'x is brother of $y$ ' in $A$ is:

• A. reflexive
• B. symmetric
• C. transitive
• D. None of these

Answer 1

Answer: (C)

Let $x_1,x_2,x_3$, are three brothers $x_{1}R{x}_2,x_{2}R{x}_3$
$\Rightarrow x_{1}R{x}_3$ are element of relation ' $x$ is brother of $y$ '. So transitive.