soal matematika pertidak samaan nilai mutlak

Bab Nilai Mutlak
Matematika SMA Kelas X

|x - 4| > |3x + 2|

(x - 4)² > (3x + 2)²
(x - 4)² - (3x + 2)² > 0
(x - 4 + 3x + 2) (x - 4 - 3x - 2) > 0
(4x - 2) (-2x - 6) > 0
(4x - 2) (2x + 6) < 0
4x - 6 < 0
4x < 6
x < 6/4
x < 3/2

2x + 6 > 0
2x > -6
x > -3
-3 < x

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