If A = {2, 4, 6} and B = {x : x = 2n, n ∈ N, 1 ≤ n ≤ 3}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The condition 1 ≤ n ≤ 3 with n a natural number allows n = 1, 2, and 3 only. Substituting these values into x = 2n gives x = 2, 4, and 6. Therefore B = {2, 4, 6}. Since A contains exactly the same elements as B, the two sets are equal, so option A is correct. The order in which elements are listed does not matter.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The condition 1 ≤ n ≤ 3 with n a natural number allows n = 1, 2, and 3 only. Substituting these values into x = 2n gives x = 2, 4, and 6. Therefore B = {2, 4, 6}. Since A contains exactly the same elements as B, the two sets are equal, so option A is correct. The order in which elements are listed does not matter.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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