Identify the property — task. Mathematics State Board, Class 9.

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1. Commutative property for the intersection of two sets:

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

2. Distributive property of intersection over union:

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

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