PDF chapter test TRY NOW
Answer variants:
Verify \(A \cap (B \cup C) = (A \cap B) \cup (A \cap C)\) using Venn diagrams.
Proof:
\(B \cup C =\)
\(A \cap (B \cup C) =\) ---- (\(1\))
\(A \cap B =\)
\(A \cap C =\)
\((A \cap B) \cup (A \cap C) =\) ---- (\(2\))
From equations (\(1\)) and (\(2\)), we have \(A \cap (B \cup C) = (A \cap B) \cup (A \cap C)\).
Hence, we proved.
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