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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

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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