Penyelesaian |3-2x|>|x-4|

3-2x > x-4
3-3-2x > x-4-3
-2x > x-7
-2x-x > x-x-7
-x > -7 / x > 7

Bab Nilai Mutlak
Matematika SMA Kelas X

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

(3 - 2x)² > (x - 4)²
(3 - 2x)² - (x - 4)² > 0
(3 - 2x + x - 4) (3 - 2x - x + 4) > 0
(-1 - x) (-3x + 7) > 0
-1 - x = 0     atau         -3x + 7 = 0
-1 = x                          -3x = -7
x = -1                           x = 7/3

HP = { x | x < -1 atau x > 7/3, x ∈ bilangan real }