Sets not only play a strong role in mathematics, but also in the real world. We use sets to help us organize information and group similar things together. In this section, the videos will explore set concepts, subsets, Venn diagrams, set operations, and applications of sets.

Set Concepts

In this section, we will explore different set concepts. The videos will cover what is a well defined set, how can you describe a set, and various methods of writing sets. The videos will also discuss the cardinal number of a set. 

Well Defined Vs Not Well Defined Sets
Description of Sets
Write in Roster Form
Write in Set Builder Notation

Set Operations

In this section, we will explore different set operations. The videos will cover unions, intersections, difference of two sets, and Cartesian products. Also, they will show how to find the number of elements in a union.

Union of Sets
Intersection of Sets
Number of Elements in A or B
Number of Elements in a Single Set
Difference of two Sets
Cartesian Product of Two Sets


In this section, we will explore subsets. Subsets are smaller sets that contain elements from a given set. They can include the original set. Proper subsets do not include the given set. The empty set is always a subset of any set. Learn how to find the number of distinct subsets and the number of proper distinct subsets. There are also examples on how to list all distinct subsets and distinct proper subsets.

The Number of Distinct Subsets
The Number of Distinct Proper Subsets
List the Distinct Subsets
List the Distinct Proper Subsets

Venn Diagrams

In this section, we will explore Venn Diagrams. Venn Diagrams can be a useful tool to organize and display data. Sometimes the Venn Diagram will be given, and questions will be answered from it directly. Sometimes the sets will be given and the Venn Diagram will need to be constructed.

Draw a Venn Diagram - 2 Sets
Draw a Venn Diagram - 3 Sets
Find Information from a Venn Diagram
Application of Venn Diagram 2 Sets
Application of Venn Diagram 3 Sets