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12 January, 12:40

3. Suppose U = {1,2,3,4,5,6,7,8,9,10} is the universal set and Q = {3,6,9}. What is Q'?

A.{3,6,9}

B.{4,5,7,8}

C.{1,2,4,5,7,8,10}

D.{1,2,3,4,5,6,7,8,9,10}

4. Suppose U = {1,2,3,4,5,6,7,8}, A = (1,3,5,7), and B = {4,5,6}. Tell whether each statement is true or false.

A c B

_

A.

True

B. False

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Answers (1)
  1. 12 January, 12:45
    0
    3. Q' = {1, 2, 4, 5, 7, 8, 10} ⇒ answer C

    4. A ⊂ B is False ⇒ answer B

    Step-by-step explanation:

    3.

    - The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

    - The set Q = {3, 6, 9}

    - We need to find the complement of set Q (Q')

    - The complement set of Q is the set of all elements belongs to the

    universal set U but does not belong to the set Q

    - That means take off all the elements belongs to set Q from the

    universal set U

    ∵ U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

    ∵ Q = {3, 6, 9}

    - Cancel from set U the elements 3, 6, 9

    ∴ Q' = {1, 2, 4, 5, 7, 8, 10}

    4.

    - The universal set U = {1, 2, 3, 4, 5, 6, 7, 8}

    - The set A = {1, 3, 5, 7}

    - The set B = {4, 5, 6}

    - A ⊂ B means every element in set A belongs to set B

    ∵ A = {1, 3, 5, 7}

    ∵ B = {4, 5, 6}

    ∵ The elements in set A ∉ in set B

    ∴ A ⊂ B is False
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