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Consider the binary operation* on the se...

Consider the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b=min. {a, b}. Write the operation table of the operation *.

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Consider the binary opertion ^^ on the set {1,2,3,4,5} defined by a ^^ b = min {a,b}. Write the opertion table of the opertion ^^.

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Knowledge Check

  • Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

    A
    * is associative and commutative
    B
    * is associative but not commutative
    C
    * is neither associative nor commutative
    D
    * is commutative but not associative
  • Binary operation * on R - {-1} defined by a * b= (a)/(b+a)

    A
    * is associative and commutative
    B
    * is neither associative nor commutative
    C
    * is commutative but not associative
    D
    * is associative but not commutative
  • Define ** on the set of real number by a ** b = 1 + ab . Then the operation ** is

    A
    commutative but not associative
    B
    neither commutative nor associative
    C
    associative but not commutative
    D
    both commutative and associative.
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    Let **' be the binary opertion on the set {1,2,3,4,5} defined by a &&' b = H.C.F. of a and b. Is the opertion **' same as the opertion ** defined in above ? Your answer

    Let * be a binary operation on the set R defined by a ** b = (a + b)/2 . Show that * is commulative but not associative.

    Define binary operation.

    On Z defined * by a ** b = a -b show that * is a binary operation of Z.

    Verify whether the binary operation * on Q, the set of all rationals, defined as a*b=ab+1 is commutative or associative.