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|x-2| < 1
Dla x<2
-(x-2) < 1
-x+2 < 1
-x < -1 /*(-1)
x>1
x∈(1,2)
Dla x≥2
x-2 < 1
x < 3
x∈<2, 3)
(1,2) u <2, 3)= (1.3)
Odp. x∈ (1,3).