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Chilukuri Sai Kartik Grade: 12
`        Solve |x-1|+|x-2|+|x-3|>6`
8 years ago

## Answers : (1)

147 Points
```										Dear chilukuri
|x-1|+|x-2|+|x-3|>6
case 1        x>=3
|x-1|+|x-2|+|x-3|>6
or (x-1)+(x-2)+(x-3)>6
x>=4
case 2         2=<x <3
|x-1|+|x-2|+|x-3|>6
or
(x-1)+(x-2)+(-x+3)>6
x>=6
so it is not a solution
case 3   1=<x<2
|x-1|+|x-2|+|x-3|>6
or
(x-1)+(-x+2)+(-x+3)>6
x<=-2
so it is not a solution
case 4  x<1
|x-1|+|x-2|+|x-3|>6
or
(-x+1)+(-x+2)+(-x+3)>6
x<=0
so final solution
-∞<x≤0   and   4≤x<∞

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.  All the best.  Regards, Askiitians Experts Badiuddin

```
8 years ago
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