UPSKILL MATH PLUS

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ABNC.svg
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Verify \(A - (B \cap C) = (A - B) \cup (A - C)\) using Venn diagrams.
 
Proof:
 
\(B \cap C =\)
 
\(A - (B \cap C) =\)
 ---- (\(1\))
 
\(A - B =\)
 
\(A - C =\)
 
\((A - B) \cup (A - C) =\)
 ---- (\(2\))
 
From equations (\(1\)) and (\(2\)), \(A - (B \cap C) = (A - B) \cup (A - C)\).
 
Hence, we proved.