tentukan himpunan penyelesaian nilai mutlak berikut 5|3x-1|-13=7

5|3x - 1| - 13 = 7
|3x - 1| = (7 + 13)/5
|3x - 1| = 4

•
3x - 1 = 4
3x = 4 + 1
x = 5/3

•
3x - 1 = -4
3x = -4 + 1
x = -1

HP = {-1 , 5/3}

Mapel : Matematika
Kelas : X SMA
Bab : Mutlak

Pembahasan :
5|3x - 1| - 13 = 7
5|3x - 1| = 20
|3x - 1| = 4
(3x - 1)² = 4²
(3x - 1)² - 4² = 0
(3x - 1 + 4)(3x - 1 - 4) = 0
(3x + 3)(3x - 5) = 0
x = -1
x = 5/3

Hp : {-1 , 5/3}