The set of real value of x satisfying \[\left| |x-1|-1 \right|\le 1\]i

1.	The set of real value of x satisfying \[\left\| \|x-1\|-1 \right\|\le 1\]is
A.	\[[-1,3]\]
B.	\[[0,2]\]
C.	\[[-1,1]\]
D.	None of these
Answer» B. \[[0,2]\]

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The set of real value of x satisfying \[\left| |x-1|-1 \right|\le 1\]is

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