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    Let R be the relation in the set {a, b, c} given by R = {a, b), (b, b), (a, a), (a, c), (c, c), (c, b)} Choose the correct answer from the options b
    Question

    Let R be the relation in the set {a, b, c} given by R = {a, b), (b, b), (a, a), (a, c), (c, c), (c, b)}
    Choose the correct answer from the options below:

    A.

    R is symmetric and transitive but not reflexive

    B.

    R is reflexive and symmetric but not transitive

    C.

    R is reflexive and transitive but not symmetric

    D.

    R is equivalence relation

    Correct option is C

    Let R be the relation in the set {a, b, c} given by
    R = {a, b), (b, b), (a, a), (a, c), (c, c), (c, b)}
    We have
    (a, a), (b, b), (c, c)∈R
    So, R is reflexive
    We have
    (a, b)∈R but (b, a)∉R
    So, R is not symmetric
    Also, R is transitive

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