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

If A = {1, 4, 9} and B = {x : x = n², n ∈ ℕ, 1 ≤ n ≤ 3}, what is the correct relation?

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Answer and explanation

Correct answer: A = B

The condition for B allows n = 1, 2, and 3 only. Squaring these values gives x = 1² = 1, x = 2² = 4, and x = 3² = 9. Therefore B = {1, 4, 9}, which has exactly the same elements as A. Sets are equal when they contain the same elements, regardless of how they are represented. Hence A = B.

Tags

setsequal-setsset-builder-formfinite-setThe 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 condition for B allows n = 1, 2, and 3 only. Squaring these values gives x = 1² = 1, x = 2² = 4, and x = 3² = 9. Therefore B = {1, 4, 9}, which has exactly the same elements as A. Sets are equal when they contain the same elements, regardless of how they are represented. 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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