Which option correctly describes ∅?
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.
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.