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State the reason for the relation R, in ...

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive.

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Similar Questions

Explore conceptually related problems

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

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.

Knowledge Check

  • Choose the correct option in the question : The relation R in the set {1,2,3} given by R = { (1,2), (2,1)} is symmetric but nither reflective nor yransitive.

    A
    Symmetric
    B
    Reflective
    C
    Transitive
    D
    Symmetric and transitive

  • If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

    A
    reflexive
    B
    transitive
    C
    symmetric
    D
    none of these

  • If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

    A
    reflexive
    B
    transitive
    C
    symmetric
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    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.

    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.

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

    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.

    A relation R on A={1,2,3} given by R={1,2), (1, 2), (3, 3)} is not symmetric. Why?

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