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If A, B and C are three sets such that A...

If A, B and C are three sets such that `AnnB""=""AnnC` and `AuuB""=""AuuC` , then (1) `A""=""B` (2) `A""=""C` (3) `B""=""C` (4) `AnnB""=varphi`

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Knowledge Check

  • If A, B and C are three sets such that A nn B = A nn C and AuuB = A uu C , then

    A
    `A=C`
    B
    `B=C`
    C
    `A nn B =phi `
    D
    A=B

  • If A, B and C are three sets, then A-(B-C) equals to

    A
    A) `A-(B cap C)`
    B
    B) `(A-B) cup C`
    C
    C) `(A-B) cup (A cap C)`
    D
    D) `(A-B) cup (A-C)`

  • If A and B are two sets , then (AuuB)^(c) is :

    A
    `A^(c)capB^(c)`
    B
    `phi`
    C
    `A^(c)uuB^(c)`
    D
    None of these.