# Inverse (relation)

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The inverse of a binary relation R, denoted as R-1, is the set of all ordered pairs (y,x) such that (x,y) is an element of R.

## Examples

• In any algebraic structure such as the real numbers which is totally ordered by a less than or equal to relation $\le$, the relation greater than or equal to ($\ge$) is commonly taken as the inverse of $\le$.