Pertidak samaan|2x – 1| < |x + 2|adalah

Bab Nilai Mutlak
Matematika SMA Kelas X

|2x - 1| < |x + 2|

(2x - 1)² < (x + 2)²
(2x - 1)² - (x + 2)² < 0
(2x - 1 + x + 2) (2x - 1 - x - 2) < 0
(3x + 1) (x - 3) < 0

3x + 1 > 0
3x > -1
x > -1/3
-1/3 < x

x - 3 < 0
x < 3

HP = { x | -1/3 < x < 3, x ∈ bilangan real }