$Q. Solve $ \left | 1 - |x| \right | \geq 1
$Could someone help me with this? I understand the cases and stuff, and it works out to: $ x\ge 0,\quad x\le 0,\quad x\le -2,\quad x\ge 2
$What I don't get is how you resolve all of these, like what is the rule/logic? I thought the first two...