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Define binary operation on a set. Verify...

Define binary operation on a set. Verify whether the operation * defined on Q set of rational number by `a*b= ab+1 AA a,b in Q` is commutative or assosiative.

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The correct Answer is:
A binary operation * on a set A is a function `* : Axx A to A.` As `ab+1 in Q` so * is binary
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Knowledge Check

  • Define ** on the set of real number by a** b=1 + ab . Then the operation * is

    A
    commutative but not associative
    B
    associative but not commutative
    C
    neither commutative nor associative .
    D
    both commutative and associative .

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