1.

Show that the relation R in the set {1,2,3} given by R ={(1,2),(2,1 )} is symmetric but neither reflexive nor transitive

Answer»

SOLUTION :`(1,1),(2,2),(3,3),!in R`
`THEREFORE `R is not reflexive `(1,2) in R `and `(2,1) in R `
`therefore `R is SYMMETRIC `(1,2) in R, (2,1) in R` but `(1,1) !in R`
`therefore `R is not TRANSITIVE


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