SOLUTION: the smallest of three consecutive integers is added to twice the largest,the result so obtained is less than four times the middle

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Question 761885: the smallest of three consecutive integers is added to twice the largest,the result so obtained is less than four times the middle
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: (x-1), x, (x+1)

(x-1) + 2(x+1) < 4x
x - 1 + 2x + 2 < 4x
3x + 1 < 4x
-x < -1
x > 1

The smallest possible values of the three integers are 1, 2, and 3.