Answer
$\begin{cases}x\ge0 \\ y\ge0 \\ x\le6 \\ y\le5 \\ x+y\ge2 \end{cases}$
Work Step by Step
Based on the given graph, we can identify the equation for the red line as
$y-2=(\frac{2-0}{0-2})x$ or $x+y=2$
thus the inequalities
$\begin{cases}x\ge0 \\ y\ge0 \\ x\le6 \\ y\le5 \\ x+y\ge2 \end{cases}$
