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Which statement is correct about L = {x : x ∈ N, x ≤ 3} and M = {3, 2, 1}?

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Answer and explanation

Correct answer: L = M

Using N = {1, 2, 3, ...}, the condition x ≤ 3 gives L = {1, 2, 3}. M contains exactly the same three distinct elements, only written in reverse order. Set equality depends on membership, not order. Thus L = M. B is false because order is irrelevant, C is false because M contains 1, and D is false because L is non-empty.

Related tags

SetsEqual SetsOrderNatural NumbersCommon QuestionsCommonMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

L = M

Why is this the correct answer?

Using N = {1, 2, 3, ...}, the condition x ≤ 3 gives L = {1, 2, 3}. M contains exactly the same three distinct elements, only written in reverse order. Set equality depends on membership, not order. Thus L = M. B is false because order is irrelevant, C is false because M contains 1, and D is false because L is non-empty.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Common Questions.

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