If A = {2, 3, 5, 7} and B = {2, 3, 5, 7}, what is A − B?
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Answer and explanation
Correct answer: ∅
A − B contains elements that belong to A but do not belong to B. Here A and B are exactly equal, so every element of A is also present in B. After removing all elements of B from A, no element remains. Therefore A − B = ∅. This is the standard identity X − X = ∅ for every set X.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
A − B contains elements that belong to A but do not belong to B. Here A and B are exactly equal, so every element of A is also present in B. After removing all elements of B from A, no element remains. Therefore A − B = ∅. This is the standard identity X − X = ∅ for every set X.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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