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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 |
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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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