In a Venn diagram, how is the region that lies only in \(B\), that is, in \(B\) but not in \(A\), denoted?
Answer and explanation
Correct answer: \(B-A\)
The phrase “only in \(B\)” means that an element must belong to \(B\) and must be excluded from \(A\). Set difference expresses this condition as \(B-A\), or equivalently \(B\cap A'\). In contrast, \(A-B\) is only \(A\), \(A\cap B\) is the common region, and \(A'\cap B'\) is outside both sets. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
\(B-A\)
Why is this the correct answer?
The phrase “only in \(B\)” means that an element must belong to \(B\) and must be excluded from \(A\). Set difference expresses this condition as \(B-A\), or equivalently \(B\cap A'\). In contrast, \(A-B\) is only \(A\), \(A\cap B\) is the common region, and \(A'\cap B'\) is outside both sets. Hence 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).
