SOLUTION: What is the graph for xy>=0; how would I solve for y in this case? and the graph for y^2>x^2?

Question 340273: What is the graph for xy>=0; how would I solve for y in this case? and the graph for y^2>x^2?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Think about it.
First quadrant, , ,
Second quadrant, ,,
Third quadrant, , ,
Fourth quadrant, , ,
Also include the in the first and third quadrant and on the x and y axes.
.
.
.
Solve for
and
That's two lines.

.
.
.
Pick points in each region and test the inequality.
Since the "=" sign is not included the regions are broken up into 8 regions not just 4 regions, so use the two lines and the two axes to demarcate each region.

In the first region, ,

False, this region is not in the solution region.
.
.
.
In the second region, ,

True, this region is part of the solution region.
.
.
.
Continue until you've tested a point in each region.
Remember the and axes are not included in the solution region.

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