Question

Let A and B be two sets then \( (A \cup B) \cup (A \cap B) \) is equal to:

• A. \( A' \)
• B. \( B' \)
• C. A
• D. None of these

Hint:

In set theory, \( (A \cup B) \cup (A \cap B) = A \cup B \).

Answer 1

The Correct Option is C

Step 1: Simplify the set expression.
We know that: \[ (A \cup B) \cup (A \cap B) = A \cup B \] Thus, the expression simplifies to \( A \cup B \), which is equal to A.
Thus, the correct answer is (3).