- #1

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## Homework Statement

I'm having a problem with solving the domain of |x^2+y^2|<=|z^2|.

## Homework Equations

## The Attempt at a Solution

From what I got this should be separated into two expressions:

x^2+y^2<=z^2, and x^2+y^2>=-z^2. The later doesn't have a real solution because of the negative root. The first one should then be z>=+-sqrt(x^2+y^2). I can understand that z>=+sqrt(x^2+y^2) is above the positive cone(inside), but where is z>=-sqrt(x^2+y^2) supposed to be? I'm thinking above the negative cone(outside), but I'm not sure.