Which of the following is an infinite set?
Answer and explanation
Correct answer: {x : x ∈ N, x is even}
An infinite set has endlessly many elements and no final element. The even natural numbers continue as 2, 4, 6, 8, 10, and so on, without an upper bound, so option C is infinite. Option A is bounded, option B contains only integers from -5 to 5, and option D has exactly twelve months; all three are finite.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ N, x is even}
Why is this the correct answer?
An infinite set has endlessly many elements and no final element. The even natural numbers continue as 2, 4, 6, 8, 10, and so on, without an upper bound, so option C is infinite. Option A is bounded, option B contains only integers from -5 to 5, and option D has exactly twelve months; all three are finite.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
