nomor 4 pke cara kerja please

Bab Nilai Mutlak
Matematika SMA Kelas X

8 < | 8 - (2x/3) | ≤ 12

8 < |8 - (2x/3)|
|8 - (2x/3)| > 8

-8 > 8- (2x/3) > 8
-8 - 8 > 8 - 8 - (2x/3) > 8 - 8
-16 > -2x/3 > 0
-16 . (-3/2) < -2x/3 . (-3/2) < 0 . (-3/2)
24 < x < 0
x < 0 atau x > 24

| 8 - (2x/3) | ≤ 12

-12 ≤ 8 - (2x/3) ≤ 12
-12 - 8 ≤ 8 - 8 - (2x/3) ≤ 12 - 8
-20 ≤ -2x/3 ≤ 4
-20 . (-3/2) ≥ -2x/3 . (-3/2) ≤ 4 . (-3/2)
30 ≥ x ≥ -6
-6 ≤ x ≤ 30

HP = { x | -6 ≤ x < 0 atau 24 < x ≤ 30, x ∈ bilangan real }