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(a) LetA= {1,2,3,4} ,B = {4,6,7,8,9} and...

(a) LetA= {1,2,3,4} ,B = {4,6,7,8,9} and C= {2,3,4,6,8} . Verify the following indentities :
(i) `(AuuB)uuC=Auu(BuuC)`
(ii) `(AcapB)capC=Acap(BcapC)`

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Knowledge Check

  • If A= {1, 4, 7, 8}, B= {4, 6, 8, 9} and C= {3, 4, 5, 7} , then A nn (B-C) is

    A
    {9}
    B
    {8,9}
    C
    {4,8}
    D
    {8}

  • If A = {1,2,3……..9} , B = {2,4,6,7,8} and C = {3,4,5,8,9,10} then (A - B) uu C is .

    A
    `{1,3,4,5,8,9,10}`
    B
    `{1,2,3,4,5,6,7,8,9}`
    C
    `{2,4,6,7,8}`
    D
    `{1,3,4,5,8,9}`

  • If A = {1,4,7, 8}, B = {4, 6, 8, 9} and C = {3,4,5,7} , then A cap ( B - C ) is

    A
    `{9}`
    B
    `{ 8,9}`
    C
    `{ 4, 8}`
    D
    `{8}`

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