What type of set is {x ∈ ℚ : 0 < x < 1}?
Answer and explanation
Correct answer: Infinite set
The set contains all rational numbers strictly between 0 and 1. It includes 1/2, 1/3, 1/4, 2/5, and infinitely many other rational numbers. In fact, for every positive integer n, the number 1/(n+1) is rational and lies between 0 and 1, giving infinitely many distinct members. Therefore, the set is infinite, so option D is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The set contains all rational numbers strictly between 0 and 1. It includes 1/2, 1/3, 1/4, 2/5, and infinitely many other rational numbers. In fact, for every positive integer n, the number 1/(n+1) is rational and lies between 0 and 1, giving infinitely many distinct members. Therefore, the set is infinite, so option D is correct.
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.
