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Let the relation in the set {1, 2, 3, 4}...

Let 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) then (a)R is reflexive and 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

A

R is reflexive and 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.

Text Solution

Verified by Experts

The correct Answer is:
B
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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)}. Then

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    A
    R is reflexive and 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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    A
    R is reflexive and 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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