# How do you graph the system 2x-y>=2 and x-2y>=2?

Jun 10, 2015

#### Explanation:

Firstly, we simplify the system bringing y at the left:
$\left\{\begin{matrix}y \le 2 - 2 x \\ 2 y \le 2 - x\end{matrix}\right.$

$\left\{\begin{matrix}y \le 2 - 2 x \\ y \le 1 - \frac{x}{2}\end{matrix}\right.$

Now you have to draw the two line in the Cartesian plane:

And you have to take the part of the plane that is below the two line: