Question

Решить неравенство:
1/х-1>_-2

Answer 1

1/(x-1)≥-2        ОДЗ:  x-1≠0   x≠1
1/(x-1)+2≥0
(1+2x-2)/(x-1)≥0
(2x-1/(x-1)≥0
-∞_____+______1/2_____-_____1_____+_____+∞
x∈(-∞;1/2]U(1;+∞).