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Given A={1, 2, 3}, B={2, 3, 5}, C={3, 4}...

Given `A={1, 2, 3}, B={2, 3, 5}, C={3, 4} and D={1, 3, 5}`, check `(AcapC)times(BcapD)=(AtimesB)cap(CtimesD)` is true?

Answer

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Knowledge Check

  • If A={a, b, c}, B={2, 3} and C={a, b, c, d} then n[(AcapC)timesB] is ____.

    A
    `4`
    B
    `8`
    C
    `6`
    D
    `12`
  • If A-{1, 2}, B={1, 2, 3, 4}, C={5, 6} and D={5, 6, 7, 8} then state which of the following statement is true.

    A
    `(AtimesC)sub(BtimesD)`
    B
    `(Btimes)sub(AtimesC)`
    C
    `(AtimesB)sub(AtimesD)`
    D
    `(DtimesA)sub(BtimesA)`
  • If A = {1, 2}, B = {1,2,3,4}, C = {5, 6} and D = {5 ,6,7 ,8} then state which of the following statement is true.

    A
    `(A xx C) sub (B xx D)`
    B
    `(B xx D) sub (A xx C)`
    C
    `(A xx B) sub (A xx D)`
    D
    `(D xx A) sub (B xx A)`
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