(×-2)2-(×-2)<2 tolong jwab pliss

Materi : Pertidaksamaan Mutlak

Pembahasan :
|x - 2|² - |x - 2| < 2
p² - p < 2
p² - p - 2 < 0
(p - 2)(p + 1) < 0
-1 < p < 2

Pecah jadi 2 :
P < 2
|x - 2| < 2
(x - 2)² < 2²
(x - 2)² - 2² < 0
x(x - 4) < 0
0 < x < 4

P > -1
|x - 2| > -1
(x - 2)² > (-1)²
(x - 2)² - 1² > 0
(x - 3)(x - 1) > 0
x < 1 atau x > 3

Gabungkan Hp diatas :
Hp : {0 < x < 1 atau 3 < x < 4}

(x-2)2-(x-2)<2
=2x-4-x+2<2
=2x-4-x<0
=x-4<0
=x<4

semog membantu :)