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If A = {{1, 2}, 3}, which of the following is a subset of A?

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Answer and explanation

Correct answer: {{1, 2}}

The outer set A has exactly two elements: the set {1,2} and the number 3. A subset must contain only elements that are themselves elements of A. The set {{1,2}} contains the single element {1,2}, which is in A, so it is a subset. The other options contain 1 or 2 individually, neither of which is an element of A.

Tags

setsnested setssubset identificationMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{{1, 2}}

Why is this the correct answer?

The outer set A has exactly two elements: the set {1,2} and the number 3. A subset must contain only elements that are themselves elements of A. The set {{1,2}} contains the single element {1,2}, which is in A, so it is a subset. The other options contain 1 or 2 individually, neither of which is an element of A.

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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