Set A is the set of all natural numbers greater than 50. What type of set is A?
Answer and explanation
Correct answer: Infinite set
The natural numbers greater than 50 are 51, 52, 53, 54, and so on. There is no greatest natural number, so this list never ends. Therefore, set A contains infinitely many elements and is an infinite set. The condition gives only a lower bound, not a final upper bound.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The natural numbers greater than 50 are 51, 52, 53, 54, and so on. There is no greatest natural number, so this list never ends. Therefore, set A contains infinitely many elements and is an infinite set. The condition gives only a lower bound, not a final upper bound.
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.