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If A is the set of natural numbers between 4 and 5, what kind of set is A?

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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.

Tags

setsempty-setnatural-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

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.

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