Tentukan himpunan penyelesaian persamaan berikut! |x|+|x-5|=7 |x-1|+|2x|+|3x+1|=6

Mapel : Matematika
Kelas : X SMA
Materi : Persaman Nilai mutlak

Pembahasan :
|x| + |x - 5| = 7

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

x + x - 5 = -7
2x - 5 = -7
2x = -2
x = -1

Hp : {-1 , 6}

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|x - 1| + |2x| + |3x + 1| = 6

x - 1 + 2x + 3x + 1 = 6
6x = 6
x = 1

x - 1 + 2x + 3x + 1 = -6
6x = -6
x = -1

Hp : {-1 , 1}