Set Theory

This cheat sheet covers the high school math concept – Set Theory.


This concept is one of the most important but fairly easy ones under Algebra. Set theory was developed by German mathematician Georg Cantor in the second half of the nineteenth century. It serves as a fundamental part of the present day mathematics and we use it in almost every branch of mathematics.

A good knowledge of set theory will greatly help in solving the problems related to combinatorics, or permutations and combinations, and probability. Cheat sheets on permutations and combinations and probability will be uploaded on this website soon.

Sets are also used to define relations and functions, the very foundations of calculus. A cheat sheets on relations and functions will be uploaded on this website soon.

This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Set Notation
  • Subsets
  • Power Sets
  • Union of Sets
  • Intersection of Sets
  • Difference of Sets
  • Complement of Sets
  • Cartesian Product of Sets
  • Venn Diagrams
  • Laws of Union
  • Intersection

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