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