SOLUTION: i need help with Problem Solving with Systems of Inequalities....I need to turn this work problem in a set of inequalities then graph. here goes.... "You are recruiting students

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Question 35772: i need help with Problem Solving with Systems of Inequalities....I need to turn this work problem in a set of inequalities then graph. here goes....
"You are recruiting students to be on the decorating committee for the Junior/Senior Prom. The committee can have 7 to 10 members. There must be more Seniors than Juniors."
Im sure i can graph the problem, i just need help turning these words into a set of inequalities. Thanks for the Help.

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
i need help with Problem Solving with Systems of Inequalities....I need to turn this work problem in a set of inequalities then graph. here goes....
"You are recruiting students to be on the decorating committee for the Junior/Senior Prom.
LET JUNIORS BE J...AND SENIORS BE S IN NUMBER
The committee can have 7 to 10 members.
J+S=>7...................I
J+S=<10......................II
There must be more Seniors than Juniors."
S>J.................................III
Im sure i can graph the problem, i just need help turning these words into a set of inequalities.
PLUS THE GENERAL INEQUALITIES ON REQUIREMENT OF POSITIVE INTEGER VALUES FOR S AND J NAMELY
J>0....IT IS NOT CLEARLY SPELTOUT WHETHER WE CAN HAVE ONLY SENIORS IN THE TEAM .IN SUCH A CASE...J>=0.........................IV
BUT DEFINITELY S>0..........................V
J AND S MUST BE INTEGERS.................VI
WELL THESE ARE ALL THE COSTRAINTS
Thanks for the Help.

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