Let `A` be the set of all human beings in a town at a particular time. Determine whether Relation `R={(x ,\ y): x` is wife of `y` } is reflexive, symmetric and transitive:

Explanation

Given as `R=\{(x, y): x` is wife of `y\}`


Let us whether the relation `R` is reflexive, symmetric and transitive.



First we have to check whether the relation is reflexive:



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