2x-y≥4
-y≥4-2x
y≤2x-4 so this area is below the graph
..
4x+3y<6
3y<6-4x
y<(6-4x)/3 so this graph is below the graph
..
x-9y≤1
-9y≤1-x
y≥(1-x)/9 So this area will be above the graph (and include the line itself as well)
..
x-3y>4
-3y>4-x
y<(4-x)/3 is an area below the graph
..
So the only inequality having a shaded area above the the graph is:
y≥(1-x)/9, or in its original form
x−9y≤1
