Which of the following is an infinite subset of R?
Answer and explanation
Correct answer: (0, 1)
The open interval (0, 1) 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 lie in the interval. Hence (0, 1) is an infinite subset of R. Each other option is finite: the singleton has one element, the two-element set has two, and the empty set has none.
Frequently asked questions
What is the correct answer to this question?
(0, 1)
Why is this the correct answer?
The open interval (0, 1) 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 lie in the interval. Hence (0, 1) is an infinite subset of R. Each other option is finite: the singleton has one element, the two-element set has two, and the empty set has none.
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.
