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Class 10MathematicsSetsSets and their representationsEasyLevel 1

Which option correctly represents the set A = {x ∈ ℕ : x < 10 and x is prime} in roster form?

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Answer and explanation

Correct answer: A = {2, 3, 5, 7}

We need the natural numbers less than 10 that have exactly two positive divisors: 1 and the number itself. These are 2, 3, 5, and 7. The number 1 is not prime because it has only one positive divisor, and 9 is composite because it has divisors 1, 3, and 9. Hence A = {2, 3, 5, 7}.

Tags

setsroster formprime numbersnatural numbersset-builder formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = {2, 3, 5, 7}

Why is this the correct answer?

We need the natural numbers less than 10 that have exactly two positive divisors: 1 and the number itself. These are 2, 3, 5, and 7. The number 1 is not prime because it has only one positive divisor, and 9 is composite because it has divisors 1, 3, and 9. Hence A = {2, 3, 5, 7}.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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