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avatar+153 

Enter the letters of the points that satisfy the inequalities:
        

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

 

 Nov 16, 2020
 #1
avatar+114221 
+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 )

 

cool cool cool

 Nov 16, 2020
 #2
avatar+153 
+1

Ok, thanks for the link that helps alot.

Thanks4helping  Nov 16, 2020

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