pertidaksamaan |x+5|<|1-9x|

Kelas 10 Matematika
Bab Nilai Mutlak

|x + 5| < |1 - 9x|
(x + 5)² < (1 - 9x)²
(x + 5)² - (1 - 9x)² < 0
(x + 5 + 1 - 9x) (x + 5 - 1 + 9x) < 0
(-8x + 6) (10x + 4) < 0
(8x - 6) (10x + 4) > 0
8x - 6 > 0
8x > 6
x > 6/8
x > 3/4

10x + 4 < 0
10 < -4
x < -4/10
x < -2/5

maka,
x < -2/5 atau x > 3/4