Answer
See the images below.
Work Step by Step
(a) In this case we have two parts. We can write the first expression as:
$x>-2$
$x<2$
It means, that $x$ values vary between $-2$ and $2$. So the graph will be between lines $x=-2$ and $x=2$
Note, We have strict inequality,.
Second part is simply region above $y=1$ axis.
So, the final solution is intersection of both of the graphs.
See the image above.
(b) $xy$ is a simple product. Product can be negative if and only if only one of them is negative and another one positive number. So we need regions where either $x$ is or $y$ is negative. That is $2^{nd}$ and $4^{th}$ quadrant.
See the image below
