If A = {x : x ∈ ℕ and x is a factor of 6} and B = {1, 2, 3, 6, 6}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The natural-number factors of 6 are 1, 2, 3, and 6, so A = {1, 2, 3, 6}. In B, the number 6 appears twice, but repeated entries are counted only once in a set. Thus B also represents {1, 2, 3, 6}. Since A and B contain exactly the same elements, A = B. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The natural-number factors of 6 are 1, 2, 3, and 6, so A = {1, 2, 3, 6}. In B, the number 6 appears twice, but repeated entries are counted only once in a set. Thus B also represents {1, 2, 3, 6}. Since A and B contain exactly the same elements, A = B. Therefore 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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