# How do you graph the system x>=2 and y+x<=5?

$\textcolor{w h i t e}{\text{XXXXX}}$$x = 2$ which is a vertical line through $\left(2 , 0\right)$
$\textcolor{w h i t e}{\text{XXXXX}}$$\textcolor{w h i t e}{\text{XXXXX}}$$x \ge 2$ will be all points on this line plus all points to the right of it
$\textcolor{w h i t e}{\text{XXXXX}}$$y + x = 5$ which is a line through the points $\left(0 , 5\right) \mathmr{and} \left(5 , 0\right)$
$\textcolor{w h i t e}{\text{XXXXX}}$$\textcolor{w h i t e}{\text{XXXXX}}$$y + x \le 5$ will be all points on this line and all points below and to the left of it.
$x \ge 2 \mathmr{and} y + x \le 5$ will be the intersection of these two areas