What type of set is C = {x : x = 2n, n ∈ N}?
Answer and explanation
Correct answer: Infinite set
For every natural number n, the expression x = 2n gives an even number. If N begins with 1, the set contains 2, 4, 6, 8, and so on; if a convention includes 0, 0 is also included, without changing the conclusion. Since natural numbers continue indefinitely, there is no last generated element. Therefore C is infinite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
For every natural number n, the expression x = 2n gives an even number. If N begins with 1, the set contains 2, 4, 6, 8, and so on; if a convention includes 0, 0 is also included, without changing the conclusion. Since natural numbers continue indefinitely, there is no last generated element. Therefore C is infinite.
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.
