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Let A and B be two sets. Simplify the expression (A union B)' union (A' intersection B).

1. A'
2. A
3. B'
4. None of these

Correct answer: A'

Solution

Using De Morgan's law and set algebra: (A union B)' union (A' intersection B) = (A' intersection B') union (A' intersection B) = A' intersection (B' union B) = A' intersection U = A'.

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