Himpunan penyelesaian ketidaksamaan | 5-2x | < x

Bab Nilai Mutlak
Matematika SMA Kelas X

|5 – 2x| < x

(5 – 2x)² < x²
(5 – 2x)² – x² < 0
(5 – 2x + x) (5 – 2x – x) < 0
(-x + 5) (-3x + 5) < 0
-x + 5 = 0
-x = -5
x = 5

-3x + 5 = 0
-3x = -5
x = 5/3

HP = { x | 5/3 < x < 5, x ∈ bilangan real }