If A = {4, 5, 6}, what is A ∩ ∅?
Answer and explanation
Correct answer: ∅
The intersection A ∩ B contains only the elements that belong to both A and B. The empty set ∅ contains no elements, so there is no element that can be common to A and ∅. Therefore, A ∩ ∅ = ∅. Notice that {0} is not the empty set because it contains one element, namely 0. This is a standard property of set intersection.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The intersection A ∩ B contains only the elements that belong to both A and B. The empty set ∅ contains no elements, so there is no element that can be common to A and ∅. Therefore, A ∩ ∅ = ∅. Notice that {0} is not the empty set because it contains one element, namely 0. This is a standard property of set intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
