tolong bantu ya kk...|4x-2|<8

Bab Nilai Mutlak
Matematika SMA Kelas X

| 4x - 2 | < 8

-8 < 4x - 2 < 8
-8 + 2 < 4x - 2 + 2 < 8 + 2
- 6 < 4x < 10
- 6/4 < 4x/4 < 10/4
-3/2 < x < 5/2

HP = { x | -3/2 < x < 5/2, x ∈ bilangan real }

Materi : Pertidaksamaan Mutlak

Pembahasan :
|4x - 2| < 8
(4x - 2)² < 8²
(4x - 2)² - 8² < 0
(4x - 2 + 8)(4x - 2 - 8) < 0
(4x + 6)(4x - 10) < 0

Hp : {-3/2 < x < 5/2, x € R}