Решите неравенство _(3/2) x^(3/2) + _(2/3) x^(2/3) (5)/(6) * x * _6 x .
_(3/2) x^(3/2) + _(2/3) x^(2/3) (5)/(6) * x * _6 x (3)/(2)_(3/2) x - (2)/(3)_(3/2) x (5)/(6) * x * _6 x _(3/2) x x * _6 x (x - _(3/2) 6)_6 x 0 cases x > 0 (x - _(3/2) 6)(x - 1) 0 cases x in (0, 1] U [_(3/2) 6, +inf).
\( x \in (0, 1] \cup \left[\log_{3/2} 6, +\infty\right) \)