In a Venn diagram, what is (A − B) ∪ (A ∩ B) equal to?
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Answer and explanation
Correct answer: A
The difference A − B contains the elements that belong to A but not to B. The intersection A ∩ B contains the elements that belong to both A and B. These two regions are disjoint parts that together cover every element of A: an element of A is either outside B or inside B. Therefore, (A − B) ∪ (A ∩ B) = A.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
The difference A − B contains the elements that belong to A but not to B. The intersection A ∩ B contains the elements that belong to both A and B. These two regions are disjoint parts that together cover every element of A: an element of A is either outside B or inside B. Therefore, (A − B) ∪ (A ∩ B) = A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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