What type of set is {x ∈ R : 0 < x < 1}?
Answer and explanation
Correct answer: Infinite set
The set contains every real number strictly between 0 and 1. There are infinitely many such numbers; for example, 1/2, 1/3, 1/4, and infinitely many others. More generally, between any two distinct real numbers there are infinitely many real numbers. Hence the set is infinite, and option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The set contains every real number strictly between 0 and 1. There are infinitely many such numbers; for example, 1/2, 1/3, 1/4, and infinitely many others. More generally, between any two distinct real numbers there are infinitely many real numbers. Hence the set is infinite, and option C 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.
