What type of set is A = {x : x is a two-digit natural number}?
Answer and explanation
Correct answer: Finite set
The two-digit natural numbers begin at 10 and end at 99. Thus the set can be listed completely as 10, 11, 12, through 99. It has 90 elements, since 99 − 10 + 1 = 90. Because the list has a definite beginning and ending, the set is finite. It is not empty or infinite.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The two-digit natural numbers begin at 10 and end at 99. Thus the set can be listed completely as 10, 11, 12, through 99. It has 90 elements, since 99 − 10 + 1 = 90. Because the list has a definite beginning and ending, the set is finite. It is not empty or 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.