Basic Concepts of Set Theory

Recommended Lessons

Not sure where to start? These are the lessons and games we recommend most to students, parents and teachers on Basic-mathematics.com. Each lesson explains the topic in plain language, walks you through worked examples step by step, and ends with practice so you can check your understanding. Pick one below, or use the menu to find lessons on fractions, algebra, geometry, statistics and more.

✏️ Check What You Know: Set Theory Quiz

Can you find a union, an intersection, or a complement? Can you solve a Venn diagram word problem? Take the 10-question quiz to find out. Every answer is explained step by step, and you get 10 new questions each time you play.

Question 1 of 10Score: 0

Loading…

📚 Set Theory Concepts and Tools

A set is a collection of objects, such as numbers, letters, or people. These lessons show you how to write sets, compare them, and combine them, and how to use Venn diagrams to solve word problems.

🧩 Basic Set Concepts

{ }Set Notation

Learn the basic notation used to write and represent sets.

🏗️Set-Builder Notation

Learn how to describe a set with set-builder notation.

⊆Subsets

Explore subsets and proper subsets.

🔀 Set Operations

∪Union of Sets

Learn how to combine the elements of two or more sets.

∩Intersection of Sets

Find the elements that sets have in common.

AᶜComplement of a Set

Find the elements that are not in a set.

−Difference of Sets

Learn how to subtract one set from another.

⭕ Visual Tools and Problem Solving

🔧Union Calculator

An interactive tool that finds the union of sets.

🛠️Intersection Calculator

Find the intersection of two or more sets.

⭕3-Circle Venn Diagrams

See how three sets relate to each other.

📝Venn Diagram Word Problems

Practice solving word problems with Venn diagrams.