Five mark example problems I — task. Mathematics State Board, Class 9.

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Answer variants:

Verify \(A - (B \cup C) = (A - B) \cap (A - C)\) using Venn diagrams.

Proof:

\(B \cup C =\)

\(A - (B \cup C) =\)

---- (\(1\))

\(A - B =\)

\(A - C =\)

\((A - B) \cap (A - C) =\)

---- (\(2\))

From equations (\(1\)) and (\(2\)), \(A - (B \cup C) = (A - B) \cap (A - C)\).

Hence, we proved.

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5. Five mark example problems I