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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

If A = {3, 6, 9, 12} and B = {x : x ∈ N, x ≤ 12 and 3 divides x}, which statement is correct?

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Answer and explanation

Correct answer: A = B

The natural numbers not exceeding 12 that are divisible by 3 are 3, 6, 9, and 12. Therefore B = {3, 6, 9, 12}, which is exactly the set A. Two sets are equal when they contain precisely the same elements; the order or the way in which the elements are described does not affect equality. Hence A = B.

Tags

setsequal-setsdivisibilityset-builderThe 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?

The natural numbers not exceeding 12 that are divisible by 3 are 3, 6, 9, and 12. Therefore B = {3, 6, 9, 12}, which is exactly the set A. Two sets are equal when they contain precisely the same elements; the order or the way in which the elements are described does not affect equality. 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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