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

If A = {x : x ∈ N, x is a factor of 9 and x is even}, what is A?

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Answer and explanation

Correct answer: ∅

The positive natural-number factors of 9 are 1, 3, and 9. All three are odd, so none satisfies the additional condition of being even. Because both conditions must hold simultaneously, no element qualifies. Therefore A has no elements and is the empty set, written as ∅.

Tags

setsempty-setfactorsThe 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?

∅

Why is this the correct answer?

The positive natural-number factors of 9 are 1, 3, and 9. All three are odd, so none satisfies the additional condition of being even. Because both conditions must hold simultaneously, no element qualifies. Therefore A has no elements and is the empty set, written as ∅.

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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