If \(A=\{1,2,5,10\}\) and \(B=\{2,4,6,10\}\), which element belongs to \(A-B\)?
Answer and explanation
Correct answer: 1
The set difference \(A-B\) includes elements of \(A\) that are absent from \(B\). Here 2 and 10 occur in both sets, so they are excluded. The number 1 occurs in \(A\) but not in \(B\), so it belongs to the difference; 5 also belongs to the difference, although it is not offered. The number 4 is only in \(B\).
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The set difference \(A-B\) includes elements of \(A\) that are absent from \(B\). Here 2 and 10 occur in both sets, so they are excluded. The number 1 occurs in \(A\) but not in \(B\), so it belongs to the difference; 5 also belongs to the difference, although it is not offered. The number 4 is only in \(B\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
