SOLUTION: If x and y are positive integers , x+y<15,and x>5, what is the greatest possible value of x – y ?

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Question 303135: If x and y are positive integers , x+y<15,and x>5, what is the greatest possible value of x – y ?
Answer by Fombitz(32388) About Me  (Show Source):
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Graph the bounding region.


x-y has a maximum when x is at its greatest value and y is at its least value.
Choose the greatest x integer and corresponding least y integer value within the bounded region.
x=13
y=1
x-y=12