If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,7\}\), and \(B=\{2,4,6\}\), what is \(A\cup B\)?
Answer and explanation
Correct answer: \(\{1,2,4,6,7\}\)
The union combines all distinct elements from \(A\) and \(B\), without adding elements that belong only to the universal set \(U\). Combining \(\{1,2,7\}\) and \(\{2,4,6\}\) gives \(\{1,2,4,6,7\}\); the common element 2 is written once. Elements 3, 5, and 8 are in \(U\) but in neither \(A\) nor \(B\).
Frequently asked questions
What is the correct answer to this question?
\(\{1,2,4,6,7\}\)
Why is this the correct answer?
The union combines all distinct elements from \(A\) and \(B\), without adding elements that belong only to the universal set \(U\). Combining \(\{1,2,7\}\) and \(\{2,4,6\}\) gives \(\{1,2,4,6,7\}\); the common element 2 is written once. Elements 3, 5, and 8 are in \(U\) but in neither \(A\) nor \(B\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
