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|x-2| + |x-3| < 9 - 2|x-4|
|x-2| + |x-3| + 2|x-4| < 9
x - 2 + x - 3 + 2x - 8 < 9
4x - 13 < 9
4x < 22
x < 11/2
x < 5,5
x - 2 + x - 3 + 2x - 8 > - 9
4x - 13 > -9
4x > 4
x > 1
x ∈ (1 ; 5,5)