What type of set is the set of rational numbers strictly between 0 and 1?
Answer and explanation
Correct answer: Infinite set
There are infinitely many rational numbers strictly between 0 and 1. Examples include 1/2, 1/3, 2/3, and 1/n for every integer n greater than 1. More generally, between any two distinct rational numbers there are further rational numbers. Therefore, the set of rational numbers in the interval (0, 1) is infinite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
There are infinitely many rational numbers strictly between 0 and 1. Examples include 1/2, 1/3, 2/3, and 1/n for every integer n greater than 1. More generally, between any two distinct rational numbers there are further rational numbers. Therefore, the set of rational numbers in the interval (0, 1) is 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.
