A) \[[2,4]\]
B) \[(-\infty ,2]\cup [4,+\infty )\]
C) \[[-2,0]\cup [2,4]\]
D) None of these
Correct Answer: C
Solution :
[c] \[\left| x-1 \right|\le 3\Rightarrow -3\le x-1\le 3\Rightarrow -2\le x\le 4\] and \[\left| x-1 \right|\ge 1\Rightarrow x-1\le -1\,\,or\,\,x-1\ge 1\] \[\Rightarrow x\le 0\,\,or\,\,x\ge 2\] Taking the common values of x, we get \[x\in [-2,0]\cup [2,4]\]You need to login to perform this action.
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