Which option is an example of an infinite set?
Answer and explanation
Correct answer: {x ∈ ℕ : x is even}
The set of even natural numbers is {2, 4, 6, 8, ...}; after every listed member, another even natural number can be found. Thus the set continues without an ending and is infinite. The other options have fixed bounds or describe the finite factor set of 20, so each contains only finitely many elements.
Frequently asked questions
What is the correct answer to this question?
{x ∈ ℕ : x is even}
Why is this the correct answer?
The set of even natural numbers is {2, 4, 6, 8, ...}; after every listed member, another even natural number can be found. Thus the set continues without an ending and is infinite. The other options have fixed bounds or describe the finite factor set of 20, so each contains only finitely many elements.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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