Enter the letters of the points that satisfy the inequalities:

\[y > -\frac{1}{2} x + 2 \quad \text{and} \quad 2x + y \le 8.\]

Thanks4helping Nov 16, 2020

#1**+1 **

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 )

CPhill Nov 16, 2020