please help!
how do you graph xy<12?
i can't find any examples in my book .
thank you!
I suppose you could do this:
Transform xy<12 to y<12/x.
Sketch the graph y = 12/x, a hyperbola if I am correct.
Change your curves to dotted boundaries.
Select some test points to find regions where xy<12.
Shade the areas for which xy<12.
I think you will have a two-dimensional graph at the end.
Bye.
Isolate y in the inequality to get
$\displaystyle y < \frac{12}{x}$
Now we want to graph $\displaystyle y=\frac{12}{x}$
This hyperbola divides the xp plane into 3 parts. We need to check a values from each one to find where to shade.
when we check the origin (0,0) in the orginial we get $\displaystyle 0 \cdot 0 \le 12$ This is true
So we shade the part inbetween the two hyperbola's see the attached graph.
Good luck.