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Check the relation R={(1,1),(2,2),(3,3),...

Check the relation R={(1,1),(2,2),(3,3),.....,(n,n)} defined on the set S={1,2,3,......n) for the three basic relations.

Answer

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Check the relation R={(1,1),(2,2),(3,3),…….,(n,n)} defined on the set S={1,2,3,…………,n} for the three basic realtions.

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

Knowledge Check

  • Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

    A
    R is reflexive symmetric but not transitive.
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.

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