If A is the set of natural numbers between 4 and 5, what kind of set is A?
Answer and explanation
Correct answer: Empty set
The natural numbers are 1, 2, 3, 4, 5, and so on. Because 4 and 5 are consecutive natural numbers, there is no natural number strictly between them. Hence A contains no elements and is written as A = ∅. A set with no elements is called the empty set, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
The natural numbers are 1, 2, 3, 4, 5, and so on. Because 4 and 5 are consecutive natural numbers, there is no natural number strictly between them. Hence A contains no elements and is written as A = ∅. A set with no elements is called the empty set, so option A 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.