Ubah bentuk nilai mutlak berikut |2x-6| + |x-1| ...

Pembahasan :

Definisi :

|x| = x, jika x ≥ 0

|x| = -x, jika x < 0

x - 1 ≥ 0 => x ≥ 1

2x - 6 ≥ 0 => 2x ≥ 6 => x ≥ 3

jika x ≥ 3
|2x - 6| + |x - 1|
= (2x - 6) + (x - 1)
= 3x - 7

jika 1 ≤ x < 3
|2x - 6| + |x - 1|
= (-2x + 6) + (x - 1)
= -x + 5

jika x < 1
|2x - 6| + |x - 1|
= (-2x + 6) + (-x + 1)
= -3x + 7