Question Detail
Question
Let A, B, C ⊆ U. Simplify \((A \cap B) \cup (A \cap B^c)\)?
Correct Answer
Option C is the correct answer.
Detailed Explanation
(A ∩ B) ∪ (A ∩ B^c) = A ∩ (B ∪ B^c) = A ∩ U = A.
Hint
Use distributive law: A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).