If the universal set is \(U=\{2,4,6,8,10,12\}\) and \(A=\{4,8,12\}\), what is the value of \(U-A\)?
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Answer and explanation
Correct answer: \(\{2,6,10\}\)
The difference \(U-A\) consists of elements that belong to \(U\) but do not belong to \(A\). Starting with \(U=\{2,4,6,8,10,12\}\), remove the elements \(4,8,12\) listed in \(A\). The elements left are \(2,6,10\). Thus, \(U-A=\{2,6,10\}\), making option A correct.
Frequently asked questions
What is the correct answer to this question?
\(\{2,6,10\}\)
Why is this the correct answer?
The difference \(U-A\) consists of elements that belong to \(U\) but do not belong to \(A\). Starting with \(U=\{2,4,6,8,10,12\}\), remove the elements \(4,8,12\) listed in \(A\). The elements left are \(2,6,10\). Thus, \(U-A=\{2,6,10\}\), 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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