Solusi - Pertidaksamaan linear dengan satu variabel tidak diketahui

$$\left(\frac{-4}{3}x+\frac{1}{6}\right)-\frac{1}{6}<\left(\frac{7}{9}\right)-\frac{1}{6}$$

Gabungkan pecahan:

$$\frac{-4}{3}x+\frac{\left(1-1\right)}{6}<\left(\frac{7}{9}\right)-\frac{1}{6}$$

Gabungkan pembilang:

$$\frac{-4}{3}x+\frac{0}{6}<\left(\frac{7}{9}\right)-\frac{1}{6}$$

Pengurangan pembilang nol:

$$\frac{-4}{3}x+0<\left(\frac{7}{9}\right)-\frac{1}{6}$$

Sederhanakan hitungan:

$$\frac{-4}{3}x<\left(\frac{7}{9}\right)-\frac{1}{6}$$

Tentukan penyebut terkecil:

$$\frac{-4}{3}x<\frac{\left(7·2\right)}{\left(9·2\right)}+\frac{\left(-1·3\right)}{\left(6·3\right)}$$

Kalikan penyebut:

$$\frac{-4}{3}x<\frac{\left(7·2\right)}{18}+\frac{\left(-1·3\right)}{18}$$

Kalikan pembilang:

$$\frac{-4}{3}x<\frac{14}{18}+\frac{-3}{18}$$

Gabungkan pecahan:

$$\frac{-4}{3}x<\frac{\left(14-3\right)}{18}$$

Gabungkan pembilang:

$$\frac{-4}{3}x<\frac{11}{18}$$