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Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4},B...

Let `U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6}` Find :
(i) `A'`
(ii) `B'`
(iii) `(A cup C)'`
(iv) `(A cap B)'`
(v) `(A')'`
(vi) `(B-C)'`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the required sets based on the given universal set \( U \) and the sets \( A \), \( B \), and \( C \). Given: - Universal Set \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \) - Set \( A = \{1, 2, 3, 4\} \) - Set \( B = \{2, 4, 6, 8\} \) - Set \( C = \{3, 4, 5, 6\} \) ...
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Knowledge Check

  • If A={1,2,3,4,5,6,7,8} and B={1,3,4,6,7,8,9} then

    A
    (a) `A-B=B-A`
    B
    (b) `A-B ne B-A`
    C
    (c) `(A-B) uu (B-A)=B`
    D
    (d) none of these

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