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

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

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To prove that \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \), we will use the properties of sets and logical reasoning. ### Step-by-Step Solution: **Step 1: Understand the Left-Hand Side (LHS)** - The LHS is \( A \cap (B \cup C) \). - This means we are looking for elements that are in set \( A \) and also in the union of sets \( B \) and \( C \). ...
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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 and B are any two sets, then what is A nn (A uu B) equal to?

    A
    Complement of A
    B
    Complement of B
    C
    B
    D
    A

    • Similar Questions

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    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

    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 any two sets,then prove that (A nn B)uu(A-B)=A

    If A and B are two sets then prove A=A nn(A uu B)

    For all sets A and B, (A - B) uu (A nn B) = A .

    The dual statement of A - (B uu C) = (A - B) nn (A - C) is "____" .

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