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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 3

If A = {x ∈ N : x is a prime number less than 5} and B = {2, 3}, which conclusion is correct?

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Answer and explanation

Correct answer: A = B

The natural numbers less than 5 are 1, 2, 3, and 4. Among these, 2 and 3 are prime. The number 1 is not prime because a prime number has exactly two distinct positive factors, while 1 has only one. The number 4 is composite, and 5 is not less than 5. Therefore A = {2, 3} = B, so option A is correct.

Tags

setsequal-setsprime-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?

A = B

Why is this the correct answer?

The natural numbers less than 5 are 1, 2, 3, and 4. Among these, 2 and 3 are prime. The number 1 is not prime because a prime number has exactly two distinct positive factors, while 1 has only one. The number 4 is composite, and 5 is not less than 5. Therefore A = {2, 3} = B, 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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