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If A, B and C be sets. Then, show that, ...

If A, B and C be sets. Then, show that, `A cap (B cup C) = (A cap B) cup (A cap C)`.

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The correct Answer is:
`A cap (B cup C) = (A cap B) cup (A cap C)`.
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A - (B capC) = (A - B) cap (A-C) .

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Knowledge Check

  • If A and B are two sets, then A cap (A cup B) equals to,

    A
    `A`
    B
    `B`
    C
    `phi`
    D
    `A cap B`

  • The set (A cap B')' cup (B cap C) is equal to

    A
    `A' cup B cup C`
    B
    `A' cup B`
    C
    `A' cup C'`
    D
    `A' cap C`

    • Similar Questions

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    If A={4,5,6}, B={7,8} then show that A cup B =B cup A

    For all sets A and B, (A - B) cup (A cap B)= A .

    Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

    If A and B are subsets of the universal set cup , then show that, (A cap B) sub A

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