|2x-1|<|x-1|= Tentukan nilainya

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1| < |x - 1|

(2x - 1)² < (x - 1)²
(2x - 1)² - (x - 1)² < 0
(2x - 1 + x - 1) (2x - 1 - x + 1) < 0
(3x - 2) x < 0
3x - 2 < 0
3x < 2
x < 2/3

x > 0
0 < x

HP = { x | 0 < x < 2/3, x € bilangan real }

|2×-1|<|x-1|
(2x-1)^2 < (x-1)^2
(2x-1)^2 - (x-1)^2 < 0
((2x-1)+(x-1)) ((2x-1)-(x-1)) < 0
(2x-1+x-1) (2x-1-x-1) < 0
(2x-x+1-1) (2x+x+1-1) < 0
(x+0) (3x+0) < 0
x+0=0 3x+0=0
x=0 3x = 0
x = 0/3
= 0

maaf kalau salah, bisa d cek lagi.....