Tentukan himpunan nilai mutlak |x+15|_<|1-9x|

Pertidaksamaan Mutlak

|x + 15| ≤ |1 - 9x|
(x + 15)² ≤ (1 - 9x)²
(x + 15)² - (1 - 9x)² ≤ 0
(x + 15 + 1 - 9x)(x + 15 - 1 + 9x) ≤ 0
( -8x + 16)(10x + 14) ≤ 0
-8(x - 2) . 2(5x + 7) ≤ 0
bagi dgn -16 , tanda dblik

(x - 2)(5x + 7) ≥ 0

x = 2
x = -7/5


x ≤ -7/5
x ≥ 2