If A = {x : x is an even number less than 10} and B = {2, 3, 5, 7}, what is A ∩ B?
Answer and explanation
Correct answer: {2}
First expand the set-builder description: the positive even numbers less than 10 are A={2,4,6,8}. Set B={2,3,5,7}. Intersection keeps only values occurring in both lists, and the sole common value is 2. Therefore A∩B={2}. Option B is A itself, option C is the odd part of B, and the empty set incorrectly assumes no common element.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
First expand the set-builder description: the positive even numbers less than 10 are A={2,4,6,8}. Set B={2,3,5,7}. Intersection keeps only values occurring in both lists, and the sole common value is 2. Therefore A∩B={2}. Option B is A itself, option C is the odd part of B, and the empty set incorrectly assumes no common element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
