Three points that satisfy both inequalities are
A (5, -5)
B ( 5, -10)
C (10, -10)
How to find the solution
The solution of the system of equations x + y < 5 and 2x - y > 4 is solved graphically.
From the graph, the solution covers the areas that are are shaded. Hence where the shading is submerged satisfies both inequalities
The points in this area is shown in the graph attached