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.


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 \(( A \cup B) '\)



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

\(( A \cup B) ' = \text{Mukah, Bintulu}\)