UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreAnswer variants:
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.