Mathematics

Mathematics

Problem

For the set A={1,2,3}A=\{1,2,3\}, which of the following relations on AA is reflexive and symmetric but not transitive? a) {(1,1),(2,2),(3,3),(1,2),(2,1)}\{(1,1),(2,2),(3,3),(1,2),(2,1)\} b) {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)\} c) {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)\} d) {(1,2),(2,1),(2,3),(3,2)}\{(1,2),(2,1),(2,3),(3,2)\}

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