1.

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A of human beings in a town at a particular time given by R={(x,y): x is wife of y }

Answer»

Solution :Clearly `(X,x)!in`R for any `x in A`
`therefore`R is not reflexive `(x ,y) inR rArr `is wife of y`rArr `y is husband of x `rArr (y,x)!in R`
`therefore `R is not symmetric
There can.t EXIST `x,y,z in A` so that x is wife of y and y is wifeof z
`therefore`R is OBVIOUSLY transitive.


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