Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8}. Find (A ∪ B)'

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

Answer (Detailed Solution Below)

Option 2 : {5, 7, 9}
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Detailed Solution

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Concept:

(A ⋃ B) is the elements present in either of the sets A or B.

(A ⋃ B)' =  U - (A ⋃ B)

Calculation:

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

(A ⋃ B) = {1, 2, 3, 4, 6, 8}

⇒(A ⋃ B)' = U - (A ⋃ B)

= {5, 7, 9}

Hence, option (2) is correct. 

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