[tex]INEQUALITIES \\ \\ \\
Given \: \: expression \: \: - \\ \\ x - \frac{45}{x} \: < \: - 4 \\ \\ \frac{ {x}^{2} - 45 }{x} < - 4 \\ \\ {x }^{2} - 45 < - 4x \\ \\ {x}^{2} + 4x - 45 < 0 \\ \\ (x + 9)(x - 5) < 0 \\ \\ Therefore \: \: , \: \\ \\ x \: lies \: in \:the \: interval \: \: (-9,5) \:[/tex]
