If A = {1, 2, 3} and B = {4, 5}, what is A ∩ B?
Answer and explanation
Correct answer: ∅
The intersection A ∩ B contains only the elements that are present in both A and B. Set A contains 1, 2, and 3, while set B contains 4 and 5. There is no common element between the two sets. Therefore, A and B are disjoint sets, and their intersection is the empty set, written as ∅. Hence, option C is correct.
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 are present in both A and B. Set A contains 1, 2, and 3, while set B contains 4 and 5. There is no common element between the two sets. Therefore, A and B are disjoint sets, and their intersection is the empty set, written as ∅. Hence, option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).