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)

= x - 5

jika 1 ≤ x < 3

|2x - 6| - |x - 1|

= (-2x + 6) - (x - 1)

= -3x + 7

jika x < 1

|2x - 6| - |x - 1|

= (-2x + 6) - (-x + 1)

= -x + 5