Congruence Modulo Integer/Examples/-10 equiv 8 mod 6

Example of Congruence Modulo an Integer

 * $-10 \equiv 8 \pmod 6$

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

for some $k \in \Z$.

We have:
 * $-10 - 8 = -18 = \paren {-3} \times 6$

Thus:
 * $-10 \equiv 8 \pmod 6$