Решите неравенство _(2x) 16 - _(4x) 8 1 .

_(2x) 16 - _(4x) 8 1 (4)/(1 + _2 x) - (3)/(2 + _2 x) 1 (_2^2 x + 2_2 x - 3)/((1 + _2 x)(2 + _2 x)) 0 ((3 + _2 x)(-1 + _2 x))/((1 + _2 x)(2 + _2 x)) 0 _2 x in (-inf, -3] U (-2, -1) U [1, +inf) x in (0, (1)/(8)] U ((1)/(4), (1)/(2)) U [2, +inf).

\( x \in \left(0, \frac{1}{8}\right] \cup \left(\frac{1}{4}, \frac{1}{2}\right) \cup [2, +\infty) \)