If A = (0, 3) and B = [3, 7], what is A ∩ B?
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Answer and explanation
Correct answer: ∅
The intervals meet at the number 3, but 3 is not included in A because A has an open right endpoint. Although 3 is included in B, it must belong to both sets to be in the intersection. No other number is common to the intervals, so A ∩ B is the empty set, ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The intervals meet at the number 3, but 3 is not included in A because A has an open right endpoint. Although 3 is included in B, it must belong to both sets to be in the intersection. No other number is common to the intervals, so A ∩ B is the empty set, ∅.
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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