|x-5|<|2x-6| mohon pengertian

x-5 < 2x - 6
=x-2x < 5 - 6
= -x < -1
= x < 1
*maaf kalo salah

Kelas 10 Matematika
Bab 2 - Persamaan dan Fungsi Kuadrat
Kata Kunci : Nilai Mutlak

|x - 5| < |2x - 6|
(x - 5)² < (2x - 6)²
(x - 5)² - (2x - 6)² < 0
(x - 5 + 2x - 6) (x - 5 - 2x + 6) < 0
(3x - 11) (-x + 1) < 0
(3x - 1) (x - 1) > 0
3x - 1 < 0
3x < 1
x < 1/3

x - 1 > 0
x > 1

maka, x < 1/3 atau x > 1