Решите неравенство,пожалуйста)

Решите задачу:

$\sqrt{\frac{x+5}{2x-1}} \geq 2\; ,\; \; ODZ:\; \left \{ {{\frac{x+5}{2x-1} \geq 0} \atop {2x-1\ne 0}} \right. \; \; x\in (-\infty,-5\, ]U(\frac{1}{2},+\infty)\\\\\frac{x+5}{2x-1} \geq 4\\\\\frac{x+5-8x+4}{2x-1} \geq 0\\\\\frac{-(7x-9)}{2x-1} \geq 0\\\\\frac{7x-9}{2x-1} \leq 0\\\\+++(\frac{1}{2})---[\, \frac{9}{7}\, ]+++\\\\x\in (\frac{1}{2},\frac{9}{7}\, ]$