When X lies between 0 & 1,we can certainly say that the exp is equal to 1
ex: let x= 0.2
x-1= -0.8
|x-1|=0.8
|x| +|x-1|=0.2+|-0.8|
=1.
So it proves that any value between 0& 1 will be eual to 1 for |x| +|x-1|
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Source: Beat The GMAT — Data Sufficiency |
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gmatmachoman
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