Question

Solve for x:
|2x-3|+|x-1|=5

Answer 1

Answer:

here u need to take 4 cases

Step-by-step explanation:

Case :- 1

2x-3+x-1=5

3x-4=5

3x=9

x=3

Case :- 2

-(2x-3)+ (-(x-1)) = 5

-(2x-3+x-1) = 5

3x-4 = -5

x = -1/3

Case :- 3

-(2x-3)+x-1=5

-2x+3+x-1 = 5

-x+2 = 5

x = -3

Case :- 4

2x-3+(-(x-1))=5

2x-3-x+1 = 5

x-2 = 5

x= 7

from all the cases ,

x = {7,3,-3,-1/3}

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