Решите неравенство (x-1)(3x-5)< 1

3х²-5х-3х+5 < 1
3х²-8х+5 < 1
D = 64 - 4 • 5 • 3 = 4 = 2²
x1 = 8 - 2 / 6 = 1
x2 = 8 + 2 / 6 = 10/6 = 5/3 = 1 2/3
(x - 1)(x - 1 2/3) < 0
o(1)o(1 2/3)>
ответ: (1; 1 2/3)