In a Venn diagram, how is the region containing elements only in \(A\) represented?
Answer and explanation
Correct answer: \(A-B\)
The region containing elements only in \(A\) consists of elements that belong to \(A\) but do not belong to \(B\). This is the set difference \(A-B\), also written as \(A\cap B'\). The intersection \(A\cap B\) contains common elements, \(B-A\) represents only \(B\), and \(A\cup B\) includes both sets. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
\(A-B\)
Why is this the correct answer?
The region containing elements only in \(A\) consists of elements that belong to \(A\) but do not belong to \(B\). This is the set difference \(A-B\), also written as \(A\cap B'\). The intersection \(A\cap B\) contains common elements, \(B-A\) represents only \(B\), and \(A\cup B\) includes both sets. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.