If \(A=\{1,3,5,7,9\}\), \(B=\{2,3,5,8,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap B\cap C\)?
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Answer and explanation
Correct answer: \(\{3,5,9\}\)
A three-set intersection contains only elements that occur in all three sets. The elements 3, 5, and 9 appear in \(A\), \(B\), and \(C\). Every other listed element is absent from at least one set. Hence \(A\cap B\cap C=\{3,5,9\}\), making option A correct.
Frequently asked questions
What is the correct answer to this question?
\(\{3,5,9\}\)
Why is this the correct answer?
A three-set intersection contains only elements that occur in all three sets. The elements 3, 5, and 9 appear in \(A\), \(B\), and \(C\). Every other listed element is absent from at least one set. Hence \(A\cap B\cap C=\{3,5,9\}\), making option A correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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