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l 2x - 4 l - l x + 3 l < -1
l 2x - 4 l - l x + 3 l < -1
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|2x - 4| + 1 < |x + 3|
a) (2x-4) < 0 , |x+3| >0
4-2x + 1 < x + 3
-2x + 5< x + 3
-2x - x < 3 - 5
- 3x < - 2
x > 2/3
b. (2x-4)> 0 , |x+2| > 0
2x - 4 + 1 < x + 3
2x - 3 < x + 3
2x - x < 3+3
x < 6
HP 2/3 < x < 6