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

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

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear akash

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

case 1   x <-1

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

so -(x+1) =1

 x=-2   it is a solution

case 2  -1≤x<0

so  

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

 2(x+1) =2

 x+1=1

 x=0     not a solution

case x≥0

so

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

  2(x+1) =2(x+1)   this is true for any vvalue of x

so final solution is x=-2 and all value of x≥0

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Badiuddin

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