A) \[(-1,1]\cup [5,7)\]
B) \[-4\le x\le 2\]
C) \[-1<x<7or\,x\ge 5\]
D) \[x<7or\,x\ge 5\]
E) \[-\infty \,<x\le 1\,or\,\,5\le x<8\]
Correct Answer: A
Solution :
\[2\le |x-3|<4\] \[2\le x-3<4\]or\[2\le -(x-3)<4\] \[5\le x<7\]or\[-1\le -x\le 1\] \[\Rightarrow \] \[5\le x<7\]or\[-1<x\le 1\] \[\therefore \] \[x\in (-1,1]\cup [5,7).\]You need to login to perform this action.
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