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Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 7

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

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Answer and explanation

Correct answer: Both {1} ∈ A and {1} ⊂ A are true

The set A has three elements: 1, 2, and the set {1}. Therefore, {1} is directly listed as an element of A, so {1} ∈ A. Also, the only element of {1} is 1, and 1 belongs to A; hence every element of {1} belongs to A, so {1} ⊂ A as well. Both statements are true.

Tags

setselement versus subsetnested setsMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Both {1} ∈ A and {1} ⊂ A are true

Why is this the correct answer?

The set A has three elements: 1, 2, and the set {1}. Therefore, {1} is directly listed as an element of A, so {1} ∈ A. Also, the only element of {1} is 1, and 1 belongs to A; hence every element of {1} belongs to A, so {1} ⊂ A as well. Both statements are true.

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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