From the following figure, write down the inequalities which describe the shaded regions.

The horizontal dashed line is at $y=2$. The shaded region is above this line. Since the line is dashed, the inequality is strict.

$$y > 2$$

This line passes through the points $(-6, 0)$ and $(0, 2)$.
The slope $m = \frac{2 - 0}{0 - (-6)} = \frac{2}{6} = \frac{1}{3}$.
The y-intercept is $b=2$.
The equation of the line is $y = \frac{1}{3}x + 2$.
The shaded region is below this line. Since the line is solid, the inequality includes equality.

$$y \le \frac{1}{3}x + 2$$

This line passes through the points $(0, 0)$ and $(2, 2)$ (based on the grid scale).
The slope $m = \frac{2 - 0}{2 - 0} = 1$.
The y-intercept is $b=0$.
The equation of the line is $y = x$.
The shaded region is below this line. Since the line is solid, the inequality includes equality.

$$y \le x$$

The y-axis is the line $x=0$. The shaded region is to the left of this line. Since it's a solid line, the inequality includes equality.

$$x \le 0$$

The inequalities describing the shaded regions are:

$$\boxed{y > 2}$$ $$\boxed{y \le \frac{1}{3}x + 2}$$ $$\boxed{y \le x}$$ $$\boxed{x \le 0}$$