$$|x^{2} - 2 x + 2| + |2 x + 1| \leq 5$$

$$\sqrt{x - 2} + \sqrt{x - 5} \leq \sqrt{x - 3}$$

$$7 x - 6 < x + 12$$

$$8^{x} + 18^{x} > 2 \cdot 27^{x}$$

$$-3 x^{2} + 2 x + 5 \leq 0$$

$$\frac{\log{\left(\left(\frac{7 - x}{x + 1}\right)^{2} \right)}}{\log{\left(x + 8 \right)}} \leq 1 - \frac{\log{\left(\frac{x + 1}{x - 7} \right)}}{\log{\left(x + 8 \right)}}$$

$$2^{x} + \frac{2}{3} 2^{x/2} < 9$$

$$\tan\left(x - \frac{\pi}{3}\right) \geq -\sqrt{3}$$

$$2 x^{3} + 7 x^{2} + 7 x + 2 < 0$$

$$25 x^{2} - 30 x + 9 > 0$$

$$\sqrt[3]{5 x + 1} - \sqrt[3]{5 x - 12} \geq 1$$

$$(x - 6)^{4} (x - 4)^{3} (x + 6) / (x - 7) < 0$$

$$\frac{\ln(8 x^{2} + 24 x - 16) + \ln(x^{4} + 6 x^{3} + 9 x^{2})}{x^{2} + 3 x - 10} \geq 0$$

$$2 x^{2} - 15 x + 35 - \frac{30}{x} + \frac{8}{x^{2}} \geq 0$$

$$\frac{4 x^{2} - 3 x - 1}{2 x^{2} + 3 x + 1} > 0$$