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Subjects

Which set is a singleton set and is not empty?

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Answer and explanation

Correct answer: B = {0}

A singleton set is a set containing exactly one element. B = {0} contains one element, namely 0, so it is a singleton and it is not empty. The symbol ∅ in option A denotes a set with no elements. C has two elements and D has three elements, so neither is a singleton. The braces around 0 must not be confused with the empty-set symbol.

Tags

setssingleton setempty setset cardinalityThe 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?

B = {0}

Why is this the correct answer?

A singleton set is a set containing exactly one element. B = {0} contains one element, namely 0, so it is a singleton and it is not empty. The symbol ∅ in option A denotes a set with no elements. C has two elements and D has three elements, so neither is a singleton. The braces around 0 must not be confused with the empty-set symbol.

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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