Answer
$0 \leq r \lt 2,~~~$ $\pi \leq \theta \leq \frac{3\pi}{2}$
This region includes all the points in the third quadrant that are within the circle centered on the origin with a radius of 2. Note that the points on the circumference of the circle are not included in the region.
Work Step by Step
$0 \leq r \lt 2,~~~$ $\pi \leq \theta \leq \frac{3\pi}{2}$
The region includes all points that are less than a distance of 2 from the origin and located in the third quadrant. This region includes all the points in the third quadrant that are within the circle centered on the origin with a radius of 2. Note that the points on the circumference of the circle with radius 2 are not included in the region.
