# Operations on Sets

## Union

$$A\cup B=\{x|x\in A\vee x\in B\}$$

## Intersection

$$A\cap B=\{x|x\in A\wedge x\in B\}$$

## Difference

$$A\setminus B=\{x|x\in A\wedge x\notin B\}$$

## Symmetric Difference

$$A\Delta B=\{A\setminus B\}\cup \{B\setminus A\}$$

## Subsets

$$A\subseteq B$$

## Complements

$$\overline{A}=\{x|x\in B\wedge x\notin A\}$$

Keywords: sets, union, intersection, difference, symmetric difference, subsets, complements