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Q.
If $R =\{( x , y ): x$ is wife of $y \}$, then $R$ is
Relations and Functions - Part 2
Solution:
Here, $R$ is not reflexive; as $x$ cannot wife of $x, R$ is not symmetric, as if $x$ is wife of $y$, then $y$ is husband (not wife) of $x$ and $R$ is transitive as transitivity is not contradicted in this case. Whenever $( x , y ) \in R$, then $( y , z ) \notin R$ for any $z$ as if $x$ is wife of $y$, then $y$ is a male and a male cannot be a wife.