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Relations and F...

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  • Question 1
    1 / -0

    Let A = {1, 2, 3, 4} and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R is

  • Question 2
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    Let * be any binary operation on the set R defined by a * b = a + b – ab, then the binary operation * is

  • Question 3
    1 / -0

    Let A = {1,2,3,4} and B = { x,y,z}. Then R = {(1,x) , ( 2,z), (1,y), (3,x)} is

  • Question 4
    1 / -0

    If f is the greatest integer function and g is the modulus function . Write the value of g o f(-1/3) - f o g ( -1/3 )

  • Question 5
    1 / -0

    * is a binary operation on Z such that: a * b = a + b + ab. The  solution  of  (3* 4) *x = - 1 is

  • Question 6
    1 / -0

    Given below is the table corresponding to some binary operation a * b on a set S={0,1,2,3,4,5}. What is 5 -1 from this operation?

    * 0 1 2 3 4 5
    0 0 1 2 3 5
    1 1 2 3 4 5 0
    2 2 3 4 5 0 1
    3 3 4 5 0 1 2
    4 4 5 0 1 2 3
    5 5 0 1 2 3 4

  • Question 7
    1 / -0

    Given below is the table corresponding to some binary operation a * b on a set {0, 1,2,3,4,5}. Identify the identity element of this operation.

    * 0 1 2 3 4 5
    0 0 1 2 3 4 5
    1 1 2 3 4 5 0
    2 2 3 4 5 0 1
    3 3 4 5 0 1 2
    4 4 5 0 1 2 3
    5 5 0 1 2 3 4

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