In a Venn diagram, what is ((A ∪ B) − A) equal to?
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Answer and explanation
Correct answer: B − A
The union A ∪ B contains every element in A or B. When all elements belonging to A are removed from this union, the remaining elements must be those that belong to B but do not belong to A. Hence, (A ∪ B) − A = B − A. In a Venn diagram, this is the non-overlapping portion of circle B.
Frequently asked questions
What is the correct answer to this question?
B − A
Why is this the correct answer?
The union A ∪ B contains every element in A or B. When all elements belonging to A are removed from this union, the remaining elements must be those that belong to B but do not belong to A. Hence, (A ∪ B) − A = B − A. In a Venn diagram, this is the non-overlapping portion of circle B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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