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Which option correctly shows the empty set?

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Answer and explanation

Correct answer: ∅

The governing concept is the empty set, which contains no elements and is written as ∅. The symbol 0 is a number, not a set. The notation {0} represents a singleton set containing the element zero, so it has one element. Likewise, {∅} contains the empty set as one element and is also not empty. Hence option C alone denotes a set with no members.

Related tags

SetsEmpty-SetSingleton-SetNumber SystemsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

Why is this the correct answer?

The governing concept is the empty set, which contains no elements and is written as ∅. The symbol 0 is a number, not a set. The notation {0} represents a singleton set containing the element zero, so it has one element. Likewise, {∅} contains the empty set as one element and is also not empty. Hence option C alone denotes a set with no members.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems.

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