Question

modululx-1=3
modulul2x-3=0
modulul1-3x=2

Answer 1

|x-1|=3
x-1=3
x-1=-3
x=3+1
x-1=-3
x=4
x-1=-3
x=4
x=-3+1
x=4
x=-2
x apartine {-2,4}
|2x-3|=0  
2x-3=0
2x=3
x=3:2
x=3/2
|1--3x|=2
1-3x=2
1-3x=-2
-3x=1
1-3x=-2
-3x=1
1-3x=-2
x=1:-3
1-3x=-2
x=1/-3
1-3x=-2
x=- 1/3
-3x=-3
x=- 1/3
x=-3:
x- 1/3
x=1
x apartine {- 1/3,1}
/=supra

Answer 2

|x-1|=3 
daca x-1 <0 , |x-1|=1-x=3 =>x= -2
daca x-1 >0, |x-1|=x-1=3 => x=4
|2x-3|=0
daca 2x-3<0, |2x-3|=3-2x=0=>x=3/2
daca 2x-3>0, |2x-3|=2x-3=0=>x=3/2
|1-3x|=2
daca 1-3x<0,|1-3x|=3x-1=2=>x=1
daca 1-3x>0,|1-3x|=1-3x=2=>x=-1/3