If \(A\cap(B-C)=\varnothing\), what does this mean?
Answer and explanation
Correct answer: No element of \(A\) is in \(B\) but not in \(C\).
The difference \(B-C\) consists of elements that belong to \(B\) but do not belong to \(C\). If its intersection with \(A\) is empty, then no element can simultaneously be in \(A\), in \(B\), and outside \(C\). Thus, no element of \(A\) is in \(B\) but not in \(C\), which is exactly option A.
Frequently asked questions
What is the correct answer to this question?
No element of \(A\) is in \(B\) but not in \(C\).
Why is this the correct answer?
The difference \(B-C\) consists of elements that belong to \(B\) but do not belong to \(C\). If its intersection with \(A\) is empty, then no element can simultaneously be in \(A\), in \(B\), and outside \(C\). Thus, no element of \(A\) is in \(B\) but not in \(C\), which is exactly option 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).
