For any two sets A and B, [B’ ∪ (B’ – A)]’ is equal to…….

Solution

\[ [B’ \cup (B’ – A)]’ \]

Using

\[ X – Y = X \cap Y’ \]

\[ = [B’ \cup (B’ \cap A’)]’ \]

Using absorption law,

\[ B’ \cup (B’ \cap A’) = B’ \]

Therefore,

\[ = (B’)’ \]

\[ = B \]

Answer

\[ \boxed{B} \]

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