What type of set is the set of real numbers strictly between 0 and 1?
Answer and explanation
Correct answer: Infinite set
The interval (0, 1) contains infinitely many real numbers. It includes rational numbers such as 1/2 and 3/4, as well as irrational numbers such as √2/2. In fact, between any two distinct real numbers there are infinitely many other real numbers. Thus the set of real numbers strictly between 0 and 1 is infinite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The interval (0, 1) contains infinitely many real numbers. It includes rational numbers such as 1/2 and 3/4, as well as irrational numbers such as √2/2. In fact, between any two distinct real numbers there are infinitely many other real numbers. Thus the set of real numbers strictly between 0 and 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.
