A) \[2x+y\le 2,\ x-y\le 1,\ x+2y\le 8\]
B) \[2x+y\ge 2,\ x-y\le 1,\ x+2y\le 8\]
C) \[2x+y\ge 2,\ x-y\ge 1,\ x+2y\le 8\]
D) \[2x+y\ge 2,\ x-y\ge 1,\ x+2y\ge 8\]
Correct Answer: B
Solution :
To test the origin for \[2x+y=2,x-y=1\] and \[x+2y=8\]in reference to shaded area, \[0+0<2\]is true for \[2x+y=2\]. So for the region does not include origin (0, 0), \[2x+y\ge 2\]. Again for \[x-y=1,\,0-0<1\], \[\therefore \,\,\,\,x-y\le 1\] Similarly for \[x+2y=8,0+0<8\]; \ \[x+2y\le 8\].You need to login to perform this action.
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