Tentukan himpunan selesaian dari persamaan |5-2/3x|-9=8

Materi : Persamaan Mutlak

Pembahasan :
|5 - 2/3x| - 9 = 8
|5 - 2/3x| = 8 + 9
|5 - 2/3x| = 17

Syarat Pertama, ruas kanan positif
5 - 2/3x = 17
2/3x = 5 - 17
2/3x = -12
2x = -36
x = -18

Syarat kedua, ruas kanan negatif
5 - 2/3x = -17
2/3x = 5 + 17
2/3x = 22
2x = 66
x = 33

Hp : {-18 , 33}

Nilai Mutlak

|5 - ⅔ x| - 9 = 8
|5 - ⅔ x| = 8 + 9

5 - ⅔ x = 17
⅔ x = 5 - 17
⅔ x = -12
x = -12 × 3/2
x = -18

5 - ⅔ x = -17
⅔ x = 5 + 17
x = 22 × 3/2
x = 33

HP {-18 , 33}

semoga berguna +_+