Congruence Modulo Integer/Examples/-2 equiv 14 mod 8

Example of Congruence Modulo an Integer

 * $-2 \equiv 14 \pmod 8$

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

for some $k \in \Z$.

We have:
 * $\paren {-2} - 14 = -15 = \paren {-2} \times 8$

Thus:
 * $-2 \equiv 14 \pmod 8$