# Symbols:Set Theory/Set Difference

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## Set Difference

- $\setminus$

The difference between two sets $S$ and $T$ is denoted $S \setminus T$ and consists of all the elements of $S$ which are not elements of $T$.

- $S \setminus T := \set {x \in S: x \notin T}$

The $\LaTeX$ code for \(\setminus\) is `\setminus`

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## Also denoted as

### Minus Symbol

- $-$

A variant notation for the difference between two sets $S$ and $T$ is $S - T$.

The $\LaTeX$ code for \(S - T\) is `S - T`

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## Also see

See Number Theory: Divisor for an alternative use of this symbol.