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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 which of the given sets can be considered a universal set for the sets A, B, and C, we first need to identify the elements in each set: - Set A = {1, 3, 5} - Set B = {2, 4, 6} - Set C = {0, 2, 4, 6, 8} Next, we will combine all the unique elements from sets A, B, and C to form the universal set. ...
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Knowledge Check

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

    A
    {0,1,2,3,4,5,6}
    B
    `phi`
    C
    {0,1,2,3,4,5,6,7,8,9,10}
    D
    {1,2,3,4,5,6,7,8}
  • If set A={1,2,3,4,5} and set B={1,7,6,8} then which of the following is not true?

    A
    `2 in B`
    B
    `1 in A`
    C
    `6 in B`
    D
    `5 in A`
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