![figure](https://docs.google.com/drawings/d/e/2PACX-1vSY0m8Zr8dYWlNJIH0By_6EoeKYYkbKhx0VOEdxoqWbTHAbYEjdnULroyiF8pgpBXOc1fupkVGbAoq6/pub?w=354&h=349)

It is not a total order. Specifically, to be a total order it must satisfy the *trichotomy* requirement. It's sufficient to provide a counterexample here: 2 and 3. \\(2 \nleq 3\\) and \\(3 \nleq 2\\).