If A = {x ∈ ℕ : x² < 10} and B = {1, 2, 3}, state the correct relation. Assume ℕ = {1, 2, 3, ...}.
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Answer and explanation
Correct answer: A = B
Using the stated convention ℕ = {1, 2, 3, ...}, test the natural numbers against x² < 10. We have 1² = 1, 2² = 4, and 3² = 9, all less than 10, while 4² = 16, which is not less than 10. Therefore A = {1, 2, 3}. Since B contains exactly the same elements, A and B are equal, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Using the stated convention ℕ = {1, 2, 3, ...}, test the natural numbers against x² < 10. We have 1² = 1, 2² = 4, and 3² = 9, all less than 10, while 4² = 16, which is not less than 10. Therefore A = {1, 2, 3}. Since B contains exactly the same elements, A and B are equal, so option A is correct.
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.
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