How can I draw the graph of |xy| <=0
Why in the world would you post that?
$\displaystyle \{(x,y) : x = 0 \vee y = 0\}$ is the graph in $\displaystyle \mathbb{R}^2$
This is the union of the $\displaystyle x\text{-axis}~\&~y\text{-axis}~.$
$\displaystyle \{(x,y,z) : x = 0 \vee y = 0\}$ is the graph in $\displaystyle \mathbb{R}^3$
This is the union of the $\displaystyle xz\text{-plane}~\&~yz\text{-plane}~.$
There were two correct replies posted. Are you saying that both Prof Halls and I are mistaken?
You are the one who is "blabla"ing. You seem to have misread the question. The original question was about graphing $\displaystyle |xy|\le 0$, the set of points (x, y) such that xy is either negative or zero. Yes, |xy| is never negative but it is 0. The graph is the two axes- the x- axis on which y= 0 so |xy|= |x(0)|= 0 and the y-axis on which x= 0 so |xy|= |(0)y|= 0.
Yes, |xy| is never negative but it is 0.......which implies x=0 and y=0..................I agree.....
do not use the < 0 it is wrong............................................. ......
and be more polite......after all we just exchange here views and ideas....and if we disagree in some issues this is just another expression of the plurality of Mathematics...
Again, why would any mathematically literate person write that?
Now that is being as polite as this situation calls for.
Did you miss read the OP?
The OP was $\displaystyle |xy|\le 0$ not $\displaystyle |xy|<0$.
If it had been the latter, then we all would agree that no nonempty graph exists.