Himpunan Penyelesaian |3x-1|<10 adalah

Bab Nilai Mutlak
Matematika SMA Kelas X

|3x - 1| < 10

-10 < 3x - 1 < 10
-10 + 1 < 3x - 1 + 1 < 10 + 1
-9 < 3x < 11
-9/3 < 3x/3 < 11/3
-3 < x < 11/3

HP = { x | -3 < x < 11/3, x ∈ bilangan real }

3x-1 < 10
3x < 10 +1
3x < 11
x < 11/3

-I3x-1I < 10
-3x +1 < 10
-3x < 10-1
-3x < 9
x < 9/-3
x < -3
Hp ={-3, 11/3}