Let N = {1, 2, 3, ...}. In which option are A and B equal?
Answer and explanation
Correct answer: A = {x ∈ N : x < 5}, B = {1, 2, 3, 4}
The stem defines N as the positive natural numbers {1, 2, 3, ...}. Therefore, the natural numbers satisfying x < 5 are exactly 1, 2, 3, and 4. Hence A = {1, 2, 3, 4}, which is precisely B in option C. In option A, B incorrectly includes 0; in option B, A also includes 5; and in option D, A contains numbers greater than 5. Thus only C represents equal sets.
Frequently asked questions
What is the correct answer to this question?
A = {x ∈ N : x < 5}, B = {1, 2, 3, 4}
Why is this the correct answer?
The stem defines N as the positive natural numbers {1, 2, 3, ...}. Therefore, the natural numbers satisfying x < 5 are exactly 1, 2, 3, and 4. Hence A = {1, 2, 3, 4}, which is precisely B in option C. In option A, B incorrectly includes 0; in option B, A also includes 5; and in option D, A contains numbers greater than 5. Thus only C represents equal sets.
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.
