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Subjects
Mathematics State Board
Class 9
Set Language
Properties of Set Operations
4.
Identify the property
Exercise condition:
2
m.
1
.
Commutative property for the intersection of two sets
:
\(P \cup Q\) \(=\) \(Q \cup P\)
\(P \cap Q\) \(=\) \(Q \cap P\)
\(P \cap (Q \cup R)\) \(=\) \((P \cap Q)\) \(\cup\) \((P\cap R)\)
\(P \cup (Q \cap R)\) \(=\) \((P \cup Q)\) \(\cap\) \((P \cup R)\)
2
.
Associative property for the intersection of three sets
:
\(P \cup (Q \cap R)\) \(=\) \((P \cup Q)\) \(\cap\) \((P \cup R)\)
\(P \cup (Q \cup R)\) \(=\) \((P \cup Q) \cup R\)
\(P \cap (Q \cup R)\) \(=\) \((P \cap Q)\) \(\cup\) \((P\cap R)\)
\(P \cap ( Q\cap R)\) \(=\) \((P \cap Q) \cap R\)
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