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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 3

If A = {x ∈ ℕ : x is a factor of 18} and B = {1, 2, 3, 6, 9, 18}, what is true about A and B?

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Answer and explanation

Correct answer: A = B

A natural-number factor of 18 is a natural number that divides 18 exactly. The positive factors are 1, 2, 3, 6, 9, and 18, because each divides 18 without a remainder. These are precisely the elements listed in B. A number is always a factor of itself, so 18 belongs in the set. Hence A = B.

Tags

setsequal-setsfactorsThe 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 = B

Why is this the correct answer?

A natural-number factor of 18 is a natural number that divides 18 exactly. The positive factors are 1, 2, 3, 6, 9, and 18, because each divides 18 without a remainder. These are precisely the elements listed in B. A number is always a factor of itself, so 18 belongs in the set. Hence A = B.

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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