Set Theory

Set Theory explores the fundamental concepts of sets, including operations, relations, and applications in mathematics.

Introduction to SetsSet OperationsSubsets and Power Sets
Relations and Cartesian ProductsFunctions as Special RelationsInfinite Sets and Cardinality
Set Theory in Computer ScienceSet Theory in Everyday LifeVenn Diagrams for Problem Solving
Using Venn Diagrams on TestsBreaking Down Complex Set Problems
Introduction to SetsSet OperationsSubsets and Power Se...Relations and Cartes...Functions as Special...Infinite Sets and Ca...Set Theory in Comput...Set Theory in Everyd...Venn Diagrams for Pr...Using Venn Diagrams ...Breaking Down Comple...
Practical Applications

Set Theory in Everyday Life

Sets All Around Us

Set theory isn't just for math class—it's everywhere! From choosing pizza toppings to organizing your closet, you use sets all the time.

  • Shopping: The list of items in your cart is a set.
  • Sports: The players on a team form a set.

Making Choices

When you combine two playlists or find friends you have in common with someone, you're using set operations without even realizing it!

Organizing and Planning

Sets help you organize tasks, group your favorite movies, or plan events by grouping people and things efficiently.

Examples

  • Making a guest list for a party uses the idea of sets.

  • Choosing classes that fit both your interests and schedule is an intersection of sets.

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Venn Diagrams for Problem Solving