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

If A = {x : x ∈ N, x < 6} and B = {5, 4, 3, 2, 1}, how are A and B related?

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Answer and explanation

Correct answer: Equal sets

The natural numbers less than 6 are 1, 2, 3, 4, and 5, so A = {1, 2, 3, 4, 5}. Set B contains exactly the same five elements, merely written in reverse order. In set theory, order does not matter; equality depends only on having the same elements. Hence A and B are equal sets.

Tags

setsequal-setsset-builder-notationThe 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 less than 6 are 1, 2, 3, 4, and 5, so A = {1, 2, 3, 4, 5}. Set B contains exactly the same five elements, merely written in reverse order. In set theory, order does not matter; equality depends only on having the same elements. Hence A and B 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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