If A and B are two sets, then A ∩ (A ∪ B)’ is equal to ___________
Solution
\[ A \cap (A \cup B)’ \]
By De Morgan’s law,
\[ = A \cap (A’ \cap B’) \]
Using associative law,
\[ = (A \cap A’) \cap B’ \]
\[ = \Phi \cap B’ \]
\[ = \Phi \]
Answer
\[ \boxed{\Phi} \]