Saved Bookmarks
| 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 father of y } |
|
Answer» SOLUTION :Clearly (X,x)`!in`R for any `x in A` `THEREFORE`R is not reflexive `(x ,y) inR RARR ` x is FATHER of y `rArr `y can.t be father of x `rArr (y,x)!in R` `therefore `R is not symmetric `(x,y) in R (y,z)in R ` `rArr ` x is father of y and y is father of z `rArr` x can.t be father of z(br)`rArr (x,z) !in R` `therefore`R is not transitive . |
|