Himpunan penyelesaian pertidaksamaan 3/4 (3x-20)+3<2/3(6x+15)-4 adalah

3/4 (3x - 20) + 3 < 2/3 (6x + 15) - 4
9x/4 - 15 + 3 < 12x/3 + 10 - 4
9x/4 - 12 < 4x + 6
9x/4 < 4x + 6 + 12
9x < 4x + 18 ( 4 )
9x < 16x + 72
9x - 16x < 72
-7x < 72
x < 72/-7
x < -10,2857..
x < -10,30

Bab Pertidaksamaan
Matematika SMA Kelas X

(3/4) (3x - 20) + 3 < (2/3) (6x + 15) - 4
(9x - 60)/4 + 3 < (12x + 30)/3 - 4
(9x - 60 + 12)/4 < (12x + 30 - 12)/3
3 . (9x - 48) < (12x + 18) . 4
27x - 144 < 48x + 72
27x - 48x < 144 + 72
-21x < 216
x < 216/-21
x < -10 6/21
x < -10 2/7