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Let S be a non-empty set and 0 be a bina...

Let S be a non-empty set and 0 be a binary operation on s defined by x 0 y =x, x, `y in S`. Determine whether 0 is commutative and association.

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Knowledge Check

  • In (S, **) , is defined by x ** y =x where x, y in S , then

    A
    associative
    B
    Commutative
    C
    associative and commutative
    D
    neither associative nor commutative

  • The binary operation ** defined on a set s is said to be commutative if

    A
    `a**b in S AA a, b in S`
    B
    `a ** b =b ** a AA a, b in S`
    C
    `(a ** b) ** c =a ** (b ** c) AA a, b in S`
    D
    `a ** b = e AA a, b in S`

  • A binary operation on a set S is a function from

    A
    `S to S`
    B
    `(S xx S) to S`
    C
    `S to (S xx S)`
    D
    `(S xx S) to (S xx S)`

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