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

If G₁ = {x : x ∈ ℕ, x is a factor of 9 and x is even}, what is G₁?

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Answer and explanation

Correct answer: G₁ = ∅

The natural-number factors of 9 are 1, 3, and 9. All of these factors are odd, so none of them satisfies the additional condition of being even. Because no natural number satisfies both conditions simultaneously, G₁ contains no elements and therefore equals the empty set, ∅.

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?

G₁ = ∅

Why is this the correct answer?

The natural-number factors of 9 are 1, 3, and 9. All of these factors are odd, so none of them satisfies the additional condition of being even. Because no natural number satisfies both conditions simultaneously, G₁ contains no elements and therefore equals the empty set, ∅.

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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