Which of the following sets is not empty?
Answer and explanation
Correct answer: {x : x is an even prime number}
A set is non-empty if at least one object satisfies its defining condition. The number 2 is an even prime number because it has exactly two positive divisors, 1 and 2. Thus option C contains the element 2. There is no natural number less than 1 under the usual school convention, no integer strictly between 2 and 3, and no month with 40 days.
Frequently asked questions
What is the correct answer to this question?
{x : x is an even prime number}
Why is this the correct answer?
A set is non-empty if at least one object satisfies its defining condition. The number 2 is an even prime number because it has exactly two positive divisors, 1 and 2. Thus option C contains the element 2. There is no natural number less than 1 under the usual school convention, no integer strictly between 2 and 3, and no month with 40 days.
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.
