`2x + y ge 8, x + 2y ge 10`

Explanation

To solve the system of inequalities given by \(2x + y \geq 8\) and \(x + 2y \geq 10\), we will follow these steps:

### Step 1: Convert Inequalities to Equations
First, we will convert each inequality to an equation to find the boundary lines.

1. For the first inequality \(2x + y \geq 8\), we convert it to the equation:
\[ 2x + y = 8 \]

2. For the second inequality \(x + 2y \geq 10\), we convert it to the equation:
\[ x + 2y = 10 \]