If A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ N, 1 ≤ n ≤ 4}, which of the following is correct?
Answer and explanation
Correct answer: A = B
Substitute the allowed values n = 1, 2, 3, and 4 into x = 2n. The resulting values are x = 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This is exactly the same collection of elements as A, hence A = B. Option B is false because A is not a proper subset of B; equal sets are not proper subsets. Option C lists consecutive natural numbers, and option D is false because the intersection is A itself, not the empty set.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Substitute the allowed values n = 1, 2, 3, and 4 into x = 2n. The resulting values are x = 2, 4, 6, and 8, so B = {2, 4, 6, 8}. This is exactly the same collection of elements as A, hence A = B. Option B is false because A is not a proper subset of B; equal sets are not proper subsets. Option C lists consecutive natural numbers, and option D is false because the intersection is A itself, not the empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
