Q.

Solution of  2x-1=|x+7| is

1 - 2  
2 8  
3 - 2, 8  
4 None of these  

Ans.

(2)

2x-1=|x+7|={x+7,if x≥-7-(x+7)if x<-7

∴  If x≥-7,  2x-1=x+7⇒x=8

        If x<-7,  2x-1=-(x+7)⇒3x=-6

⇒ x=-2,  Not possible.