penyelesaian pertidaksamaan |2x-1|<|x-3|

2x-1 < x-3
2x - x < -3+1
x < -2
hp = {x|x<-2, x€R}

|2x-1| < |x-3|
|2x-1| - |x-3| < 0
(2x-1)^2 - (x-3)^2 < 0
((2x-1)+(x-3))((2x-1)-(x-3)) < 0
(3x-4)(x+2) < 0
x1 = 4/3
x2 = -2

HP : {-2 < x < 4/3}

Maaf jika ada kesalahan :)