# Sort - Less than Operator

less than is a comparison operator that creates a binary relationship.

## Representation

### Set of tuples

The relation less than or equal to (<=) on the set of integers {1, 2, 3} is the following set of tuple

<1, 1>,
<1, 2>,
<1, 3>,
<2, 2>,
<2, 3>,
<3, 3>


### Visual

The relationship less than or equal between y and x (ie y <= x) can be represented in the set $R$ against $R^2$ as the below gray area: