Which of the following sets is not empty?
Answer and explanation
Correct answer: C = {x : x is a natural number less than 3}
A is empty because 2 is even, not odd. B is empty because a square cannot have three sides. Under the usual school convention, natural numbers are 1, 2, 3, and so on; therefore, the natural numbers less than 3 are 1 and 2. D is empty because no natural number is less than 0. Hence C is non-empty.
Frequently asked questions
What is the correct answer to this question?
C = {x : x is a natural number less than 3}
Why is this the correct answer?
A is empty because 2 is even, not odd. B is empty because a square cannot have three sides. Under the usual school convention, natural numbers are 1, 2, 3, and so on; therefore, the natural numbers less than 3 are 1 and 2. D is empty because no natural number is less than 0. Hence C is non-empty.
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.