|x+2|>x-3...Pertidaksamaan Harga Mutlak.

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

Bab Nilai Mutlak
Matematika SMA Kelas X

|x + 2| > x - 3
(x + 2)² > (x - 3)²
x² + 4x + 4 > x² - 6x + 9
4x + 6x + 4 - 9 > 0
10x - 5 > 0
5 (2x - 1) > 0
2x > 1
x > 1/2

x + 2 < - (x - 3)
x + 2 < - x + 3
x + x < 3 - 2
2x < 1
x < 1/2

HP = { x | -∞ < x < ∞ }