tentukan himpunan penyelesaian dari | x+2 | ≤ | x-3|

Kelas 10 Matematika
Bab Nilai Mutlak

|x + 2| <= |x - 3|
(x + 2)² <= (x - 3)²
(x + 2)² - (x - 3)² <= 0
(x + 2 + x - 3) (x + 2 - x + 3) <= 0
(2x - 1) . 5 <= 0
2x - 1 <= 0
2x <= 1
x <= 1/2

HP = { x | x <= 1/2, x € bilangan real }