Question

Решите неравенство: log0,2(1-2,4x)>-2

Answer 1

решение:

$1 - 2.4x < 0.2 {}^{ - 2} \\ 1 - 2.4x < ( \frac{1}{5}) {}^{ - 2} \\ 1 - 2.4x < 5 {}^{2} \\ 1 - 2.4x < 25 \\ \\ - 2.4x < 25 - 1 \\ x > - 10 \: .x < \frac{5}{12}$

ответ x Є [-10;5/12]