Give an example of a relation. Which is (i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symm

Answer

On A={1,2,3}
(i) {(1,1),(1,2),(2,3),(2,2),(3,3)}`" "`(ii) {(1,2),(2,1),(1,3),(3,1)}
(iii) {(1,1),(2,2),(1,2),(2,1)}`" "`(iv) {(1,1),(2,2),(3,3),(1,3)}