If A = {x : x is a positive even number less than 10} and B = {2, 4, 6, 8}, which relation is correct?
Answer and explanation
Correct answer: A = B / A and B are equal
The positive even numbers less than 10 are 2, 4, 6, and 8. Therefore the set-builder description gives A = {2, 4, 6, 8}. This is exactly the roster form used to define B. Since two sets are equal when they contain precisely the same elements, A = B. Neither set is a proper subset of the other, and their intersection is not empty.
Frequently asked questions
What is the correct answer to this question?
A = B / A and B are equal
Why is this the correct answer?
The positive even numbers less than 10 are 2, 4, 6, and 8. Therefore the set-builder description gives A = {2, 4, 6, 8}. This is exactly the roster form used to define B. Since two sets are equal when they contain precisely the same elements, A = B. Neither set is a proper subset of the other, and their intersection is not empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
