Let A = {2, 4, 6, 8} and B = {x : x ∈ ℕ, x is even and x < 10}. Which statement is correct?
Answer and explanation
Correct answer: A = B
The governing concept is equality of sets after expanding a set-builder description. The natural even numbers less than 10 are 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This is exactly the element collection shown for A; set equality does not depend on the order of writing. Thus option A is correct. B is not empty, and A has only four elements, so it is not infinite.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The governing concept is equality of sets after expanding a set-builder description. The natural even numbers less than 10 are 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This is exactly the element collection shown for A; set equality does not depend on the order of writing. Thus option A is correct. B is not empty, and A has only four elements, so it is not infinite.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
