Birmingham Mathematics/Year 1/1VGLA/SaN

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New Notation[edit]

  • - means such that
  • - means Is a member/element of

Introduction[edit]

A set is a collection of distinct objects. Objects that are in the set are often known as elements. For example:

Two of the operations we can apply on sets are intersection () and union ()

An intersection between two sets is defined as the set who's elements contain the common elements between the other two sets. Example using X and Z above:

As the only member which is in both X and Z is 6. This is sometimes known as the and operation as its the elements in both X and Z

A union between two sets is defined as the set containing the combined elements of the two sets. Example using X and Z:

As all of these numbers are elements of X or Z. This is sometimes known as the or operation as its elements in both X or Z

Recommended Further Reading[edit]