2/3(x-1)<1/2(x-2)...............

Jawab

2/3(x - 1) < 1/2(x - 2)
pindah ruas dan samakan penyebut

[2/3 (x - 2) - 1/2 (x - 1)] / (x - 1)(x - 2) < 0
[2/3 x - 1/2 x - 4/3 + 1/2] / (x - 1)(x - 2) < 0
[1/6 x - 5/6] / (x - 1)(x - 2) < 0

Pembuat nol :
1/6 x - 5/6 = 0 ---> x = 5

x - 1 = 0 ---> x = 1
x - 2 = 0 ---> x = 2

Uji titik
...- -... (1)...++...(2)....- - ...(5)... +++
Ambil yg negatif ---> < 0

NiLai x yg memenuhi :
x < 1 atau 2 < x < 5