2025 AMC 10B Problem 9AMC 10 Step by Step
Name: Date: September 13, 2026
Basic Counting · difficulty 3 of 5 · about 5 min · position P1-10
How many ordered triples of integers satisfy the following system of inequalities?
\begin{align} -x-y-z&\le -2\\ -x+y+z&\le 2\\ x-y+z&\le 2\\ x+y-z&\le 2 \end{align}
- A)
- B)
- C)
- D)
- E)