In a Venn diagram, what is (A ∪ B) − (A ∩ B) equal to?
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Answer and explanation
Correct answer: A Δ B
The union A ∪ B contains every element that belongs to A, to B, or to both. Removing A ∩ B eliminates the elements common to both sets, leaving only elements that belong to exactly one of the two sets. This set is called the symmetric difference, written as A Δ B = (A − B) ∪ (B − A).
Frequently asked questions
What is the correct answer to this question?
A Δ B
Why is this the correct answer?
The union A ∪ B contains every element that belongs to A, to B, or to both. Removing A ∩ B eliminates the elements common to both sets, leaving only elements that belong to exactly one of the two sets. This set is called the symmetric difference, written as A Δ B = (A − B) ∪ (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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