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Subjects

If A = {1, 2, 3}, which statement is certainly true?

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Answer and explanation

Correct answer: {1, 2} ⊂ A

The set {1, 2} contains only elements that are also in A, and it is not equal to A because A additionally contains 3. Therefore, {1, 2} is a proper subset of A, written {1, 2} ⊂ A. The notation {1, 2} ∈ A would incorrectly treat a set as one of A’s listed elements.

Tags

setssubsetelement relationproper subsetEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2} ⊂ A

Why is this the correct answer?

The set {1, 2} contains only elements that are also in A, and it is not equal to A because A additionally contains 3. Therefore, {1, 2} is a proper subset of A, written {1, 2} ⊂ A. The notation {1, 2} ∈ A would incorrectly treat a set as one of A’s listed elements.

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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