What is \( (((A \cap B) \cup (A - B)) - ((A \cap B) \cup (B - A))) \cup A \) equal to ?
- A. \varphi
- B. A ✓
- C. B
- D. A \cup B
Correct Answer: B. A
Explanation
Simplifying the expressions using set theory rules, (A \cap B) \cup (A - B) evaluates to A. (A \cap B) \cup (B - A) evaluates to B. The expression becomes (A - B) \cup A, which is equal to A.
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