Which of the following sets is equal to A = {4, 8, 12, 16}?
Answer and explanation
Correct answer: {x : x = 4n, n ∈ N, 1 ≤ n ≤ 4}
For option A, substitute the natural-number values n = 1, 2, 3, and 4 into x = 4n. The resulting elements are 4, 8, 12, and 16, exactly the elements of A. Therefore, option A represents the same set. Equality of sets depends on having precisely the same elements; the order of elements does not matter, but missing or additional elements would make the sets unequal.
Frequently asked questions
What is the correct answer to this question?
{x : x = 4n, n ∈ N, 1 ≤ n ≤ 4}
Why is this the correct answer?
For option A, substitute the natural-number values n = 1, 2, 3, and 4 into x = 4n. The resulting elements are 4, 8, 12, and 16, exactly the elements of A. Therefore, option A represents the same set. Equality of sets depends on having precisely the same elements; the order of elements does not matter, but missing or additional elements would make the sets unequal.
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.
