Pertidaksamaan Nilai Mutlak |x+5| <= |1-9x|

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
|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
-2/5 ≤ x ≤ 3/4

Hp : {-2/5 ≤ x ≤ 3/4, x € R}