Having a difficult time figuring out if linear equations is true or false. I'm having a very difficult time figuring out if these linear equations are true or false:
$$
x + 2y > 6\\
x - y < 3 
$$
How do you identify if these equations are true or false? At first I thought I was supposed to write out the solution, then once I get the answer I was supposed to say if it was true or false. Is that right? 
I created this graph identifying both inequalies, but I just don't know how to figure it's true or not. If anyone could help that would be great. 

Hint: It would be helpful to sketch the lines
$$
l_1\colon \quad y=\frac{6-x}{2}\\
l_2\colon \quad y=x-3
$$
and check when the following two conditions hold true jointly:
$$
y>\frac{6-x}{2}\\
y>x-3
$$
