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

Given the sets `A = {1, 3, 5}`, `B = {2,4, 6}`and `C = {0, 2,4, 6, 8}`, which of the following may be considered as universal set (s) for all the three sets A, B and C (i) `{0, 1, 2, 3, 4, 5, 6}` (ii) `phi (iii) `{0,1,2,3,4,5,6,7,8,9,10}` (iv) `{1,2,3,4,5,6,7,8}`

Text Solution

AI Generated Solution

To determine the universal set for the given sets \( A \), \( B \), and \( C \), we need to find a set that contains all the elements from these three sets. ### Step-by-Step Solution: 1. **Identify the Elements in Each Set:** - Set \( A = \{1, 3, 5\} \) - Set \( B = \{2, 4, 6\} \) - Set \( C = \{0, 2, 4, 6, 8\} \) ...
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Knowledge Check

  • Given sets A={1,3,5,7,9}, B={0,2,4,6} and C={7,8,9} . Which of the following may be taken as universal set for all the three sets A,B and C?

    A
    A. {0,1,2,3,4,5,6,7,8}
    B
    B. {1,2,3,4,5,6,7,8,9}
    C
    C. {1,2,3,4,5,6,7,8,9,10}
    D
    D. {0,1,2,3,4,5,6,7,8,9,10}

  • 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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