The sum of integers with absolute values between 2 and 9 is

Let IXI be between 2 and 9
That is, 2 ≤ IXI ≤ 9
1. The solution of IXI ≥ 2 is x ≤ - 2 or X ≥ 2
2. The solution of IXI ≤ 9 is - 9 ≤ x ≤ 9
In conclusion: - 9 ≤ x ≤ - 2 or 2 ≤ x ≤ 9
So all integers have - 9, - 8, - 7, - 6, - 5, - 4, - 3, - 2 and 2,3,4,5,6,7,8,9
Obviously, the sum of them is 0

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