Types of Sets and Subsets A set is a collection of distinct elements. A set can be finite, meaning it contains a finite number of elements, or it can be...
Types of Sets and Subsets
A set is a collection of distinct elements. A set can be finite, meaning it contains a finite number of elements, or it can be infinite, meaning it contains an infinite number of elements.
There are two main types of sets: sets and subsets. A set is a collection of elements that contains at least one element in common. A subset is a subset of a set that contains all the elements of the original set.
For example, the set {1, 2, 3, 4, 5} is a set, and the subset {1, 2, 3} is a subset of the set.
The union of two sets is a set that contains all the elements in both sets. The intersection of two sets is a set that contains only the elements that are common to both sets.
The difference between two sets is a set that contains all the elements in the first set that are not in the second set.
Sets can be combined in various ways to create new sets. For example, the union of two sets is the set of all elements in both sets, and the intersection of two sets is the set of all elements that are in both sets