Answer
$ a.\quad$ the 1st quadrant in the xy-plane
$ b.\quad$ the 4th quadrant in the xy-plane
Work Step by Step
$(a)$
$z=0$ is the xy-plane.
The inequalities describe the 1st quadrant.
So, this is the 1st quadrant in the xy-plane.
$(b)$
$z=0$ is the xy-plane.
The inequalities describe the 4th quadrant.
So, this is the 4th quadrant in the xy-plane.