Question

Let A be the set of all human beings in a town and R = {(x, y): x is wife of y. And x, y belong to A}. The relation R is

Answer 1

Answer:

The given relation is not reflexive as (x,x)

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∈R for any x∈A since x can't be its own wife!

The relation is not symmetric also as if (x,y)∈R this doesn't imply (y,x)∈R for any x,y∈A since if x is wife of y this doesn't give y is wife of x.

This relation is also not transitive since (x,y)∈R and (y,z)∈R

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⇒(x,z)∈R for any x,y,z∈A.

Step-by-step explanation: