A) -2
B) 8
C) -2, 8
D) None of these
Correct Answer: B
Solution :
[b] \[2x-1=\left| x+7 \right|=\left\{ \begin{matrix} x+7,\,\,\,\,\,if\,\,x\ge -7 \\ -(x+7),\,\,if\,\,x<-7 \\ \end{matrix} \right.\] \[\therefore \,\,\,If\,\,\,x\ge -7,2x-1=x+7\Rightarrow x=8\] If \[x<-7,2x-1=-(x+7)\] \[\Rightarrow 3x=-6\Rightarrow x=-2,\] which is not possible.
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