Need help solveing the inequality 4xy-3y^2=0

Question

Need help solveing the inequality 4xy-3y^2>=0

anonymous · Answer

Hum, u have y(4x-3y) >=0 so seems you have cases...

anonymous · Answer

definitely cases.  have two unknowns

anonymous · Answer

y>0 and y < 0  (y=0 as well...)

anonymous · Answer

are you solving for $x$ in terms of $y$? because from what @estudier  wrote, you see if $y>0$ you need $4x-3y>0$ making $x>\frac{3}{4}y$ whereas if $y<0$ it is the opposite

frostbite · Answer

Well i have just so far come to the conclution that x>= 3y/4 , y>=0 or x<=3y/4 ,y<=0

frostbite · Answer

Oh god why not i just write the full question i have been given:
Determination of the domain and outline of the domain in an xy chart for the function f(x,y)=sqrt(4xy-3y^2)

anonymous · Answer

Yes, one is sort of reverse of the other....

anonymous · Answer

That should be a surface of some sort, hyperbolic maybe...

anonymous · Answer

http://www.wolframalpha.com/input/?i=f%28x%2Cy%29+%3Dsqrt%284xy-3y^2%29 is what it looks like

anonymous · Answer

An infinite elliptic cone, lol

frostbite · Answer

But should it not be 2 dimensional when it is a xy-diagram?

anonymous · Answer

It is 2 dimensional, a surface...

anonymous · Answer

Not to mix up the dimensionality of the object and the space it is embedded in....

anonymous · Answer

U understand, right?   f(x,y) is a function of 2 variables, so a surface...

anonymous · Answer

You may think of f(x,y) = z

frostbite · Answer

Yea beside i perhaps not made it clear that i am going to make a xy-diagram of the domain. i understand your point if you plot f(x,y), but that is not what i am going to find i think.