Union of Set

Union of Sets

4.2

Union of Sets

Determine and describe the union of sets using various representation

The union of sets \(P\) and \(Q\) is written using the symbol \(\cup\).
\(P \cup Q\) represents all the elements in set \(P\) or set \(Q\) or in both sets \(P\) and \(Q\).
Union of three sets, \(A\), \(B\) and \(C\), represented as \(A∪ B ∪ C\), is a set whose elements consist of all the elements in a set \(A\), a set \(B\) or a set \(C\) or all three sets.

	Example

	Three private travel agencies, \(A, B \) and \(C\) are chosen to organise the tourism exhibition 2021 in Sarawak. Several division in Sarawak are chosen to hold the exhibition as follows \(\xi= \text{Kapit, Miri, Bintulu, Sibu, Limbang, Mukah, Kuching, Betong} \) \(A=\text{Miri, Sibu, Kuching, Betong}\) \(B=\text{Miri, Sibu, Kapit, Limbang}\) \(C=\text{Miri, Betong, Kapit, Mukah}\) List all the elements of the following sets \(( A \cup B) '\)

	Solution \(( A \cup B) = \text{Kapit,Miri, Sibu, Limbang, Kuching, Betong}\) \(( A \cup B) ' = \text{Mukah, Bintulu}\)