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A ∪ (B ∩ C) = ____________

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TNUSRB SI Official Paper (Held on 24 June 2012)
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  1. A ∩ (B ∪ C) 
  2. A ∪ (B ∪ C)
  3. (A ∪ B) ∩ (A ∪ C)
  4. (A ∪ B) ∪ (A ∪ C)

Answer (Detailed Solution Below)

Option 3 : (A ∪ B) ∩ (A ∪ C)
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Detailed Solution

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Given:
- The expression is A∪(B∩C)A∪(B∩C)

We use the concept of set theory.

According to the distributive laws of sets, A∪(B∩C)A∪(B∩C) is equivalent to (A∪B)∩(A∪C)(A∪B)∩(A∪C) .

∴ The correct option is 3) (A∪B)∩(A∪C)(A∪B)∩(A∪C) .

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