Answer
Graph:
Work Step by Step
Plotting points $(r,\theta)$ ,
$r$ is the directed distance of the point from the pole.
$\theta$ defines the angle of the ray on which the point lies,
- remains $\theta$ when $r$ is positive
- becomes $\theta\pm\pi$ when $r$ is negative
The region is such that:
The angle $11\pi/4$ terminates in the 2nd quadrant, as $ 11\pi/4=3\pi/4+2\pi$ defines a line through the pole (the origin) with slope $\tan( 11\pi/4) =-1.$
$11\pi/4$ terminates in the 2nd quadrant, but the directed distance r is partly negative, from -1 to 0, so some points in the opposite (4th) quadrant are involved.
These are points on the line that are at a distance 1 or less from the pole.
For the rest of the values of r, the points represented lie on the ray through the 2nd quadrant.
