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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 } |
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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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