Solve the following inequalities: 1) 3x2 + 6 ", 4x − 2 < 2, 2x − 5 < 5$. Also, provide a table for inequality symbol meanings and graph representations.

$$3x^2 + 2x^2 + 6 - 42 \ge 0$$ $$5x^2 - 36 \ge 0$$

$$5x^2 - 36 = 0$$ $$5x^2 = 36$$ $$x^2 = \frac{36}{5}$$ $$x = \pm\sqrt{\frac{36}{5}}$$ $$x = \pm\frac{\sqrt{36}}{\sqrt{5}}$$ $$x = \pm\frac{6}{\sqrt{5}}$$

Since the parabola $y = 5x^2 - 36$ opens upwards, $5x^2 - 36 \ge 0$ when $x$ is outside the roots.
The solution is $\boxed{x \le -\frac{6\sqrt{5}}{5} \text{ or } x \ge \frac{6\sqrt{5}}{5}}$.

2) Solve $4x - 2 < 2$

$$4x - 2 + 2 < 2 + 2$$ $$4x < 4$$

$$\frac{4x}{4} < \frac{4}{4}$$ $$x < 1$$

The solution is $\boxed{x < 1}$.

3) Solve $2x - 5 < 5$

$$2x - 5 + 5 < 5 + 5$$ $$2x < 10$$

$$\frac{2x}{2} < \frac{10}{2}$$ $$x < 5$$

The solution is $\boxed{x < 5}$.

---

Table of Inequality Symbols and Graph Representation

| Symbol | Meaning | Graph Representation (on a number line)