tolong bantu jawab dong |x+5|<|x-3|

Materi : Pertidaksamaan Mutlak

Pembahasan :
|x + 5| < |x - 3|
(x + 5)² < (x - 3)²
(x + 5)² - (x - 3)² < 0
(x + 5 + x - 3)(x + 5 - x + 3) < 0
(2x + 2)(8) < 0
2x + 2 < 0
2x < -2
x < -1

Hp : {x < -1}

Bab Nilai Mutlak
Matematika SMA Kelas X

|x + 5| < |x - 3|

(x + 5)² < (x - 3)²
(x + 5)² - (x - 3)² < 0
(x + 5 + x - 3) (x + 5 - x + 3) < 0
(2x + 2) 8 < 0
2x + 2 < 0
2x < -2
x < -2/2
x < -1

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