A) \[\left( -\infty ,2 \right]\]
B) \[(2,\infty )\]
C) \[(-\infty ,2)\]
D) \[[2,\infty )\]
Correct Answer: C
Solution :
[c] \[\left| x-2 \right|=\left\{ \begin{matrix} x-2,x\ge 2 \\ 2-x,x<2 \\ \end{matrix} \right.\] \[\Rightarrow \left| x-2 \right|-(x-2)=\left\{ \begin{matrix} 0,x\ge 2 \\ 4-2x,x<2 \\ \end{matrix} \right.\] \[\Rightarrow \] Given expression is defined for \[(-\infty ,2)\]You need to login to perform this action.
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