If D₁ = {x : x is an odd natural number greater than 30}, what type of set is D₁?
Answer and explanation
Correct answer: Infinite
The odd natural numbers greater than 30 are 31, 33, 35, 37, 39, and so on. After every odd number, another larger odd natural number can be found, so the sequence does not terminate. There is no greatest odd natural number and no upper limit in the definition of D₁. Hence D₁ has infinitely many elements and is an infinite set. It is not empty, finite, or a singleton.
Frequently asked questions
What is the correct answer to this question?
Infinite
Why is this the correct answer?
The odd natural numbers greater than 30 are 31, 33, 35, 37, 39, and so on. After every odd number, another larger odd natural number can be found, so the sequence does not terminate. There is no greatest odd natural number and no upper limit in the definition of D₁. Hence D₁ has infinitely many elements and is an infinite set. It is not empty, finite, or a singleton.
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.
