If \(A=\{1,3,6,9\}\) and \(B=\{3,6,12\}\), which element belongs to \(A\setminus B\)?
Answer and explanation
Correct answer: 9
The difference \(A\setminus B\) contains elements that belong to \(A\) but do not belong to \(B\). Starting with \(A=\{1,3,6,9\}\), remove 3 and 6 because both are also in \(B\). This gives \(A\setminus B=\{1,9\}\). Therefore, 9 is the only listed element in the difference. Options 3 and 6 are excluded because they are common to both sets, while 12 is not an element of \(A\).
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The difference \(A\setminus B\) contains elements that belong to \(A\) but do not belong to \(B\). Starting with \(A=\{1,3,6,9\}\), remove 3 and 6 because both are also in \(B\). This gives \(A\setminus B=\{1,9\}\). Therefore, 9 is the only listed element in the difference. Options 3 and 6 are excluded because they are common to both sets, while 12 is not an element of \(A\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
