Which of the following sets is empty?
Answer and explanation
Correct answer: C = {x : x is a natural number and x < 1}
A set is empty when no element satisfies its defining condition. Under the usual school convention, natural numbers are 1, 2, 3, …, so no natural number is less than 1. Therefore, C contains no elements and is the empty set, written as ∅. The other sets are non-empty because months, two-digit prime numbers, and vowels all exist.
Frequently asked questions
What is the correct answer to this question?
C = {x : x is a natural number and x < 1}
Why is this the correct answer?
A set is empty when no element satisfies its defining condition. Under the usual school convention, natural numbers are 1, 2, 3, …, so no natural number is less than 1. Therefore, C contains no elements and is the empty set, written as ∅. The other sets are non-empty because months, two-digit prime numbers, and vowels all exist.
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.
