# Union

## Redirected from Union (set theory)

1,069pages on
this wiki

### Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.

In set theory, the union of two sets $A,B$ is the set of all elements in $A$ , in $B$ , or both.

Definition

Given two sets $A,B$ ,
$A\cup B=\{x|x\in A\or x\in B\}$

## Example

Suppose $A=\{w,x,y\}$ and $B=\{t,x,z\}$ :

$A\cup B=\{t,w,x,y,z\}$