A set containing all elements of a problem under consideration.
Universal set.
"Universe" and "universal set" are two unrelated concepts.
The universal set is the set of all possible elements under consideration. You can have a universal set of all people, or all bird species, or all numbers or whatever. You can even have a universal set of all people and all bird species and all numbers as one big set.
If the universal set contains N elements then it has 2N subsets.
A set is a collection of distinct objects, while a universal set is the set that contains all possible elements relevant to a particular discussion or context. Every set is a subset of the universal set, meaning that all elements of a set are also elements of the universal set. The concept of a universal set helps define boundaries for discussions involving sets, ensuring clarity about which elements are included or excluded.
Yes. A null set is always a subset of any set. Also, any set is a subset of the [relevant] universal set.
The universal set is the set containing each and every element under consideration.
The complement of a set refers to the elements that are not included in that set but are part of a larger universal set. For example, if the universal set is all natural numbers and set A consists of even numbers, the complement of set A would be all the odd numbers within the universal set. Mathematically, the complement of set A is often denoted as A'.
If the universal set, U, has N elements then it has 2N subsets.
It is the set of "everything".
The complement of an empty set is universal set
The null set. It is a subset of every set.