If A = {1, 3, 5, 7} and B = {2, 4, 6, 8}, what is A ∩ B?
Answer and explanation
Correct answer: ∅
The intersection contains elements common to both sets. Set A contains only odd numbers, while set B contains only even numbers. No number can be both one of the listed odd elements and one of the listed even elements. Therefore, A and B are disjoint sets, and their intersection is the empty set: A ∩ B = ∅.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The intersection contains elements common to both sets. Set A contains only odd numbers, while set B contains only even numbers. No number can be both one of the listed odd elements and one of the listed even elements. Therefore, A and B are disjoint sets, and their intersection is the empty set: A ∩ B = ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
