1. The inequality \(|z| \leq 3\) represents a circle with radius 3 centered at the origin on the Argand diagram.

2. The inequality \(\text{Re} \, z \geq -2\) represents the region to the right of the vertical line \(x = -2\).

3. The inequality \(\frac{1}{4}\pi \leq \arg z \leq \pi\) represents the region between the angles \(\frac{1}{4}\pi\) and \(\pi\) from the positive real axis.

4. The solution is the intersection of these regions: inside the circle, to the right of the line \(x = -2\), and between the specified angles.