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Chilukuri Sai Kartik Grade: 12
        

Solve 2|x+1|-2x=|2x-1|+1

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear chilikuri


cse 1 x<-1


2|x+1|-2x=|2x-1|+1


2-(x+1)-2x=-2x+1+1


2-(x+1)=21


so x=-2


 


case 2  -1≤x<0


2|x+1|-2x=|2x-1|+1


2(x+1)-2x=-2x+1+1


x=0 


but it is not a solution because x=0 is not lie in -1≤x<0


case 3     0≤x


2|x+1|-2x=|2x-1|+1


2(x+1)-2x=2x-1+1


 2(x+1)=2(x+1)


which is always true so x≥0 is its solution





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Badiuddin



7 years ago
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