Identify the property — task. Maths TNSB Mentoring, Class 9.

1. Commutative property for the union of two sets:

\(P \cup Q\) \(=\) \(Q \cup P\)
\(P \cap (Q \cup R)\) \(=\) \((P \cap Q)\) \(\cup\) \((P\cap R)\)
\(P \cup (Q \cap R)\) \(=\) \((P \cup Q)\) \(\cap\) \((P \cup R)\)
\(P \cap Q\) \(=\) \(Q \cap P\)

2. Distributive property of union over intersection:

\(P \cap ( Q\cap R)\) \(=\) \((P \cap Q) \cap R\)
\(P \cup (Q \cup R)\) \(=\) \((P \cup Q) \cup R\)
\(P \cup (Q \cap R)\) \(=\) \((P \cup Q)\) \(\cap\) \((P \cup R)\)
\(P \cap (Q \cup R)\) \(=\) \((P \cap Q)\) \(\cup\) \((P\cap R)\)

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