Question 837254: Which of the following points is in the feasible region of the system of inequalities. Which of the following points satisfied all three inequalities below?
y> 0 ( or equal to)
5x-2y > 8 (or equal to)
x+y < 9 ( or equal to)
Show work or explain how you have made your choice
A. (1,2)
B. (4,3)
C. (6,-2)
D. (7,4)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Which of the following points is in the feasible region of the system of inequalities. Which of the following points satisfied all three inequalities below?
y >= 0
5x-2y >= 8
x+y <= 9
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Show work or explain how you have made your choice
A. (1,2):: 2>0 ; 5*1-2*2 = 1 is NOT >=8
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B. (4,3):: 3>0 ; 5*4-2*3 = 14 >= 8 ; 4+3 <= 9
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C. (6,-2):: -2 is NOT > 0
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D. (7,4):: 4> 0 ; 5*7-2*4 = 27 >= 8 ; 7+4 = 11 is NOT <=9
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Ans: (4,3) satisfies the three inequalities
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Cheers,
Stan H.
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