SOLUTION: If x is between 12 and 18 inclusive and y is between 3 and 8 inclusive, then x − y is (A) between 4 and 15 inclusive (B) between 9 and 15 inclusive (C) betweeen 4 and 1

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Question 249582: If x is between 12 and 18 inclusive and y is between 3 and 8 inclusive,
then x − y is
(A) between 4 and 15 inclusive (B) between 9 and 15 inclusive
(C) betweeen 4 and 10 inclusive (D) between 9 and 10 inclusive
(E) none of these
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

If x is between 12 and 18 inclusive and y is between 3 and 8 inclusive, 

then x-y is

x-y is the least it can be when x is the least it can be, 12,
and y is the most it can be taken away from it, 8, so therefore

the least x-y can be is 12-8 or 4

x-y is the most it can be when x is the most it can be, 18
and y is the least it can be taken away from it, 3, so therefore

the most x-y can be is 18-3 or 15. So the correct choice is

(A) between 4 and 15 inclusive

Edwin