What classification of set that contains no elements. It is denoted by ∅.Universal SetEqual SetNull SetFinite Set

Classification of the Set Containing No Elements

1. Definition of the Empty Set: The set that contains no elements is known as the empty set or null set. It is denoted by the symbol $\emptyset$ or sometimes by $\{\}$.

2. Options Given:

   • Universal Set: This is the set that contains all the elements under consideration, which is not applicable in this context.
   • Equal Set: This refers to sets that have exactly the same elements, which does not pertain to the empty set.
   • Null Set: This is another name for the empty set, the correct classification.
   • Finite Set: A finite set contains a specific number of elements, which does not apply to the empty set.

3. Conclusion: Among the options listed, the classification that specifically describes a set containing no elements is the Null Set.

Final Answer

The correct classification of the set that contains no elements is Null Set.