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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 7

If A = {0, 1, 2} and B = {x : x ∈ W and x < 3}, which statement is correct?

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Answer and explanation

Correct answer: A = B

W denotes the set of whole numbers: 0, 1, 2, 3, and so on. The condition x < 3 restricts x to 0, 1, and 2. Therefore B = {0,1,2}, which is exactly the same set as A. The order of elements does not affect a set, and no additional element is present in either set. Hence A = B, so option A is correct.

Tags

whole numbersequal setsset-builder notationsetsMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

W denotes the set of whole numbers: 0, 1, 2, 3, and so on. The condition x < 3 restricts x to 0, 1, and 2. Therefore B = {0,1,2}, which is exactly the same set as A. The order of elements does not affect a set, and no additional element is present in either set. Hence A = B, so option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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