​ Which graph represents the system of inequalities?

Which graph represents the system of inequalities?

Here's one  method :

All the graphs of the lines are the same.....just the solution areas are different......so....let's just pick a point  and see if it solves the original system

(0,0)  is one I  like to try, first......so we have

(0)  + (3/2)(0)   >  -  3   ⇒    0  >  -3     

0  -  5   ≤ - 6(0)    ⇒    -5  ≤  0

Note that both of these are true.....so  ...(0,0)   is in the solution region.....the only graph that has this point in the solution area is  the lower right graph