# Birmingham Mathematics/Year 1/1VGLA/SaN

< Birmingham Mathematics | Year 1 | 1VGLA

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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