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Show that the relation R in the set {1,2...

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.

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The correct Answer is:
but `(1,3) cancelin R rArr R ` is not transitive .
R is reflexive but neither symmetric nor transitive .
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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
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    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
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    A
    1
    B
    2
    C
    3
    D
    4

  • R is a relation on the set A = { 1,2,3,4,6,7,8,9} given by x Ry and y=3x , then R=

    A
    `{(3,1),(6,2),(8,2),(9,3)}`
    B
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    C
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    D
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