tentukan himpunan penyelesaian persamaan nilai mutlak |7x|=4+x

|7x| = 4 + x

7x = 4 + x
6x = 4
x = 2/3

-7x = 4 + x
-8x = 4
x = -1/2

HP = {-1/2 , 2/3}

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak
Jawaban : x = 2/3 atau x = - 1/2

Langkah - langkah :
|7x| = 4 + x
⇒ 7x = 4 + x
7x - x = 4
6x = 4
x = 4/6
x = 2/3
atau,
⇒ 7x = - (4 + x)
7x = - 4 - x
7x + x = - 4
8x = - 4
x = - 4/8
x = - 1/2