Congruence Modulo Integer/Examples/11 equiv -1 mod 12

Example of Congruence Modulo an Integer

 * $11 \equiv -1 \pmod {12}$

Proof
By definition of congruence:
 * $x \equiv y \pmod n$ $x - y = k n$

for some $k \in \Z$.

We have:
 * $11 - \paren {-1} = 12 = 1 \times 12$

Thus:
 * $11 \equiv -1 \pmod {12}$