If A and B are two sets, then (A ∩ B’)’ ∪ (B ∩ C) is equal to _________

Solution

\[ (A \cap B’)’ \cup (B \cap C) \]

\[ = (A’ \cup B) \cup (B \cap C) \]

\[ = A’ \cup [B \cup (B \cap C)] \]

\[ = A’ \cup B \]

Answer

\[ \boxed{A’ \cup B} \]

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