1. Selesaikan persamaan persamaan nilai mutlak berikut (jika ada)

Materi : Nilai Mutlak
Bahasan : Persamaan Nilai Mutlak

Langkah – langkah dan Jawaban :
|f(x)| = a, ⇒ f(x) = a atau f(x) = – a

(1a). 8 + 2x = 16
2x = 8
x = 4

8 + 2x = – 16
2x = – 24
x = – 12

(1b). 1 – 2x = 9
– 2x = 8
x = – 4

1 – 2x = – 9
– 2x = – 10
x = 5

(2a). 15x – 6 = 18 + 7x
15x – 7x = 18 + 6
8x = 24
x = 3

15x – 6 = – (18 + 7x)
15x – 6 = – 18 – 7x
15x + 7x = – 18 + 6
22x = – 12
x = – 6/11

(2b). 26 – 4|5x – 4| = – 10
– 4|5x – 4| = – 36
|5x – 4| = 9
5x – 4 = 9
5x = 13
x = 13/5

5x – 4 = – 9
5x = – 5
x = – 1

(3a). 2x + 7 = 12
2x = 5
x = 5/2

2x + 7 = – 12
2x = – 19
x = – 19/2

(3b). 10 – |x – 2| = 15
– |x – 2| = 5
|x – 2| = – 5
Tidak ada solusi karena hasilnya negatif, sesuai sifat nilai mutlak selalu menghasilkan bilangan positif.