How many ordered triples of integers (x,y,z) satisfy the following system of inequalities?
\begin{aligned}
-x-y-z &\le -2\\
-x+y+z &\le 2\\
x-y+z &\le 2\\
x+y-z &\le 2
\end{aligned}
Answer Choices:
A. 4
B. 8
C. 11
D. 15
E. 17
How many ordered triples of integers (x,y,z) satisfy the following system of inequalities?
Answer Choices:
A. 4
B. 8
C. 11
D. 15
E. 17