160k views
3 votes
Explain why the empty set is a subset of every set

User Dif
by
8.7k points

1 Answer

3 votes

The empty set (also known as the null set) is a subset of every set because it does not contain any elements that are not in the set. In other words, if A is any set, then every element of the empty set is also an element of A, since the empty set contains no elements. This satisfies the definition of a subset, which states that for any two sets A and B, A is a subset of B if every element of A is also an element of B. Therefore, the empty set is a subset of every set.

~~~Harsha~~~

User Nickolayratchev
by
8.6k points

No related questions found