Answer
See image:
Work Step by Step
The condition on r implies that the region is between or on the circles of radius 1 and radius 2 about the pole. (A ring, the area between two concentric circles.)
The condition on $\theta$ implies a sector between the angles $-\pi/2$ and $\pi/2$, including the borders (the right half of the ring).
Since r can be only positive, the symmetric points are not part of the region.
So, only the right side of the ring makes up the region.
