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

If A = {1, 2, 3, 4} and B = {x : x ∈ ℕ and x ≤ 4}, how are A and B related?

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Answer and explanation

Correct answer: Equal sets

The natural numbers that are less than or equal to 4 are 1, 2, 3, and 4, assuming ℕ = {1, 2, 3, ...}. Thus B can be written in roster form as {1, 2, 3, 4}. Set A contains exactly the same elements, and the order in which elements are written does not matter. Therefore A = B, so they are equal sets.

Tags

setsequal-setsset-builder-formroster-formThe 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?

Equal sets

Why is this the correct answer?

The natural numbers that are less than or equal to 4 are 1, 2, 3, and 4, assuming ℕ = {1, 2, 3, ...}. Thus B can be written in roster form as {1, 2, 3, 4}. Set A contains exactly the same elements, and the order in which elements are written does not matter. Therefore A = B, so they are equal sets.

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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