Tentukan himpunan penyelesaian persamaan berikut: |x|+|x-5|=7

x+x -5 =7
2x-5=7
2x=7+5
2x=12
x=12/2
x=6

Jawaban :
|x| + |x-5| = 7
x+x-5 = 7 , x ≥ 0 , x-5 ≥ 0
x = 6 , x ≥ 0 , x ≥ 5

-x-(x-5) = 7 , x < 0 , x-5 < 0
x = -1 , x<0 , x<5

Jadi x1 = -1 , x2 = 6