Congruence Modulo Integer/Examples/2 equiv -6 mod 4

Example of Congruence Modulo an Integer

 * $2 \equiv -6 \pmod 4$

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

for some $k \in \Z$.

We have:
 * $2 - \paren {-6} = 8 = 2 \times 4$

Thus:
 * $2 \equiv -6 \pmod 4$