If \(A=\{2,4,6,8,10\}\) and \(B=\{4,8,12\}\), which set is \(A\setminus B\)?
Answer and explanation
Correct answer: \(\{2,6,10\}\)
The set difference \(A\setminus B\) keeps elements that are in \(A\) but not in \(B\). From \(A\), the elements 4 and 8 are also present in \(B\), so they must be removed. The elements 2, 6, and 10 are not in \(B\), while 12 is not even in \(A\). Hence \(A\setminus B=\{2,6,10\}\), so option A is correct.
Frequently asked questions
What is the correct answer to this question?
\(\{2,6,10\}\)
Why is this the correct answer?
The set difference \(A\setminus B\) keeps elements that are in \(A\) but not in \(B\). From \(A\), the elements 4 and 8 are also present in \(B\), so they must be removed. The elements 2, 6, and 10 are not in \(B\), while 12 is not even in \(A\). Hence \(A\setminus B=\{2,6,10\}\), so option A is 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).
