give examples of relation on set
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relation R on set A is called Transitive if xRy and yRz implies xRz,∀x,y,z∈A. Example − The relation R={(1,2),(2,3),(1,3)} on set A={1,2,3} is transitive. A relation is an Equivalence Relation if it is reflexive, symmetric, and transitive.
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A relation is an Equivalence Relation if it is reflexive, symmetric, and transitive. Example − The relation R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)} on set A={1,2,3} is an equivalence relation since it is reflexive, symmetric, and transitive.
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