Which of the following is a pair of equal sets?
Answer and explanation
Correct answer: {x : x ∈ N, x ≤ 3} and {1, 2, 3}
For option A, assuming N = {1, 2, 3, ...}, the condition x ≤ 3 gives the elements 1, 2, and 3. Thus the first set is exactly {1, 2, 3}, which is the second set. In the other options, one element is missing or an extra element is present. Equality of sets depends on having precisely the same elements, not on their order.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ N, x ≤ 3} and {1, 2, 3}
Why is this the correct answer?
For option A, assuming N = {1, 2, 3, ...}, the condition x ≤ 3 gives the elements 1, 2, and 3. Thus the first set is exactly {1, 2, 3}, which is the second set. In the other options, one element is missing or an extra element is present. Equality of sets depends on having precisely the same elements, not on their order.
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.
