Enter the letters of the points that satisfy the inequalities:
\[y > -\frac{1}{2} x + 2 \quad \text{and} \quad 2x + y \le 8.\]
Look at the graph here, Thanks4Helping : https://www.desmos.com/calculator/pxlandri3i
The over-lapping areas of the two inequalities represent the feasible region....(it will appear as a grey area)
Note that we can immediately rule out any points lying below the x axis [ points B, F, J , H and D ]
E = (5,6) not in feasible region
A = (3,3) not in feasible region
I = (2,4) this point is on the border of the solid line....it is included in the region
G= (-3, 5) in the feasible region
C = (-4,1) not in feasible region
So....the points are ( I , G )