How to plot y^2 - x^2 > 0

[awebspyder]

Calling out Ron Purewal and other quant gods on the forum.

Can someone plot and show the solution space for above equation?

I got as far as plotting y = x and y = -x
Not sure how to take the intersection to get feasible region..

[JonathanSchneider]

Start with y^2 - x^2 > 0.

Convert to y^2 > x^2.

Now, take the square root of both sides, leaving you with:

l y l > l x l

This essentially means that y is farther from the origin than is x. For starters, draw the two lines where x and y are equidistant from the origin: y = x; and y = -x. Now, just extend your y values further away from the origin (up in the first two quadrants, down in the last two quadrants). The result covers 1/2 of your total space, basically an upside-down pyramid up top with its reflection down below.