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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 8 and x > 8}, what is A?

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Answer and explanation

Correct answer: A = ∅

The natural-number factors of 8 are 1, 2, 4, and 8. The additional condition requires the factor x to be greater than 8, but none of these factors satisfies x > 8; 8 itself is equal to 8, not greater than it. Therefore no natural number meets both conditions, so A has no elements and A = ∅.

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 natural-number factors of 8 are 1, 2, 4, and 8. The additional condition requires the factor x to be greater than 8, but none of these factors satisfies x > 8; 8 itself is equal to 8, not greater than it. Therefore no natural number meets both conditions, so A has no elements and A = ∅.

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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