What type of set is A = {x ∈ ℕ : x > 50}?
Answer and explanation
Correct answer: Infinite set
The natural numbers satisfying x > 50 are 51, 52, 53, 54, and so on. After every such number, a larger natural number can be found, so the list never ends. Therefore the set has infinitely many elements. The lower bound 50 only tells us where the elements begin; it does not impose an upper limit or make the set finite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The natural numbers satisfying x > 50 are 51, 52, 53, 54, and so on. After every such number, a larger natural number can be found, so the list never ends. Therefore the set has infinitely many elements. The lower bound 50 only tells us where the elements begin; it does not impose an upper limit or make the set finite.
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.
