Answer
The region is the area bounded by $r=1$, $r=2$, $\theta= \pi/6$ and $\theta= 5\pi/6$ in quadrants I and II.
As for boundaries, include $r=1$, $\theta= \pi/6$ and $\theta= 5\pi/6$ and exclude $r=2$.
See the attached graph.
Work Step by Step
The region is the area bounded by $r=1$, $r=2$, $\theta= \pi/6$ and $\theta= 5\pi/6$ in quadrants I and II.
As for boundaries, include $r=1$, $\theta= \pi/6$ and $\theta= 5\pi/6$ and exclude $r=2$.
See the attached graph.