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R is a relation is defined on the set {1...

R is a relation is defined on the set {1,2,3,4} as follow
R={(1,2), (2,2), (1,1), (4,4), (1,3), (3,3), (3,2)}
Then choose the coR Rect option of the following

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

  • LetR be the relation on the seM = {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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    B
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    C
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    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
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    D
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    A
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    B
    R is transitive
    C
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    D
    R is reflexive and transitive but not symmetric

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