What is a set and what are the kinds of sets?

Interactive PPT about sets in Mathematics! Learn the 12 different types of sets while exploring this interactive presentation!

1. SETS What is a set? Types of Sets Review Mathematics START

2. What is a set? Sets are represented as a collection of well-defined objects or elements, and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinal number of a set. Want to go back?

3. Empty Set A null set or empty set is a set that contains no elements. It is denoted as ∅ = { }. Keep moving to the next slides until you reach review ! Want to go back?

4. Singleton Set A singleton set is a set containing a single element. A singleton set is also called a unit set since there's only one element present in the set .

5. Finite Set A   set having a finite/countable number of members. Finite sets are also known as countable sets, as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members. Examples of finite sets: P = { 0, 3, 6, 9, …, 99}

6. Infinite Set   An infinite set is a set whose elements can not be counted. An infinite set is one that has no last element. An infinite set is a set that can be placed into a one-to-one correspondence with a proper subset of itself.

7. Equa l Set An e qual set are defined as sets with the same cardinality and all equal elements. In other words, if two or more sets have the same items and the same number of elements, they are said to be equal sets.

8. Equivalent Set   Equivalent sets are sets that contain the same number of elements, although the elements themselves may be different. For example, set A {5, 10, 15, 20} is equivalent to set B {w, x, y, z}. Each set contains four elements.

9. Universal Set   The universal set is the set of all elements or members of all the related sets. The universal set is usually denoted by the symbol E or U.

10. Subset   A subset is a set whose elements are all members of another set. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

11. Proper Subset   A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B.

12. Superset   A superset in math is a set of elements containing all of the elements of another set. In other words, if set A contains all of the elements of set B, then A is a superset of B. 

13. Proper Superset   A proper superset of a set A is a superset of A that is not equal to A. In other words, if B is a proper superset of A, then all elements of A are in B but B contains at least one element that is not in A. 

14. Power Set A power set (or power set) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this set is the combination of all subsets including null set, of a given set. 

15. REVIEW: What is a set? What are all the 12 sets? Want to go back?

16. :5 :3 :3 :3 = 14