If \(A=\{1,2,3,4,5\}\) and \(B=\{2,4\}\), what is \(B\setminus A\)?
Answer and explanation
Correct answer: \(\varnothing\)
The difference \(B\setminus A\) consists of elements that belong to \(B\) but do not belong to \(A\). Here, both elements of \(B\), namely 2 and 4, are already elements of \(A\). Therefore, no element remains after removing from \(B\) the elements common with \(A\), so \(B\setminus A=\varnothing\). Option A is correct.
Frequently asked questions
What is the correct answer to this question?
\(\varnothing\)
Why is this the correct answer?
The difference \(B\setminus A\) consists of elements that belong to \(B\) but do not belong to \(A\). Here, both elements of \(B\), namely 2 and 4, are already elements of \(A\). Therefore, no element remains after removing from \(B\) the elements common with \(A\), so \(B\setminus A=\varnothing\). 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).
