Set Notation

Success Criteria

At the end of this chapter, students are able to:

  1. Use Set Language and Notation to form mathematical statements.

  2. List the elements in a given finite set.

  3. Draw Venn Diagrams to represent the relationship between sets.

Introduction to Set Notation

A set is just a mathematical way to call a group of things and these things that are inside the set, we call them 'elements'. For example, you could consider BTS a K-pop set comprising of 7 elements: RM, Jin, Suga, J-Hope, Jimin, V and Jungkook.

Set vs List

The word 'set' is sometimes used synonymously with the word 'list' however in programming, these 2 terms are different in 2 key ways:

  1. Order. Order refers to the position in which an element is placed. Sets are unordered meaning that we don't care which element is 1st or 2nd or last. In a list, the elements are ordered meaning that their relative position is preserved.

  2. Repetition. A set cannot have repeated elements but a list can have repeats.