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Subjects

Which option correctly describes ∅?

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Answer and explanation

Correct answer: A set containing no elements

The symbol ∅, also written as { }, denotes the empty set or null set. By definition, it contains no elements, so its cardinality is zero: |∅| = 0. It must not be confused with {0}, which contains the single element 0 and therefore has cardinality one. Thus option B is correct.

Tags

setsempty setset notationcardinalityThe 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?

A set containing no elements

Why is this the correct answer?

The symbol ∅, also written as { }, denotes the empty set or null set. By definition, it contains no elements, so its cardinality is zero: |∅| = 0. It must not be confused with {0}, which contains the single element 0 and therefore has cardinality one. Thus option B is correct.

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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