Question

solve for x . |x+1|-|x|+2|x-1|=2x-1

Answer 1

we can solve this using by sign chart
x<-1 -1 0 1
x+1 ---------0++++++++++++++++++++
x --------------------0++++++++++++++
x-1 ---------------------------------0+++++
then take the cases & equating with 2x-1
Case1 x<-1
_(x+1)+x-2(x-1)=2x-1 solve this u will get
x=1/2
Case2(-1,0)
x+1+x-2(x-1)=2x-1
x=2
Case3 (0,1)
x+1-x-2(x-1)=2x-1
x=1
Case4 x>1
x+1-x+2(x-1)=2x-1
x=All real numbers
Finally The solution sets are 1/2,2,1 Or u can check this values!!!1

Answer 2

thnx

Answer 3

thnx