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

If A = {x ∈ ℕ : x is a factor of 12} and B = {1, 2, 3, 4, 6, 12}, what is the correct conclusion?

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Answer and explanation

Correct answer: A = B

The positive natural-number factors of 12 are 1, 2, 3, 4, 6, and 12. These are exactly the elements listed in B, with no missing or additional element. Since two sets are equal when they contain precisely the same elements, A = B. The order in which elements are written does not affect equality.

Tags

setsequal setsfactorsroster formThe Empty SetFinite and Infinite 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?

The positive natural-number factors of 12 are 1, 2, 3, 4, 6, and 12. These are exactly the elements listed in B, with no missing or additional element. Since two sets are equal when they contain precisely the same elements, A = B. The order in which elements are written does not affect equality.

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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