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 \cap B) \cup (A \cap B^c) = A \cap (B \cup B^c) = A \cap U = A).
Hint
Use the distributive law: A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).