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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

If A = {x ∈ N : x is greater than 1 and x is a factor of 1}, what is A?

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Answer and explanation

Correct answer: A = ∅

The only positive natural-number factor of 1 is 1 itself. However, the definition also requires x > 1, which excludes 1. No natural number can therefore satisfy both conditions simultaneously. Thus, the set contains no elements and is the empty set, A = ∅. Hence, option A is correct.

Tags

setsempty setfactorsnatural 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 = ∅

Why is this the correct answer?

The only positive natural-number factor of 1 is 1 itself. However, the definition also requires x > 1, which excludes 1. No natural number can therefore satisfy both conditions simultaneously. Thus, the set contains no elements and is the empty set, A = ∅. Hence, 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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