himpunan penyelesaian persamaan |x-2|+|2x+4|=6

Materi : Persamaan Nilai Mutlak

Pembahasan :
|x - 2| + |2x + 4| = 6

x - 2 + 2x + 4 = 6
3x + 2 = 6
3x = 4
x = 4/3 ——» Tidak memenuhi

x - 2 + 2x + 4 = -6
3x + 2 = -6
3x = -8
x = -8/3

-(x - 2) + 2x + 4 = 6
-x + 2 + 2x + 4 = 6
x + 6 = 6
x = 0

x - 2 - (2x + 4) = 6
x - 2 - 2x - 4 = 6
-x - 6 = 6
x + 6 = -6
x = 0

Hp : {-8/3 , 0}