-1
$\begingroup$

I would like to know how to solve the inequality $$|x^2-y^2|\leq 2x+2y-4xy.$$ I have tried to solve it by myself and searched in the internet, but didn't come up with an answer.

Thanks in advance.

Edit: I forgot to mention that the inequality should be shown for all $x,y\in[0,1]$.

  • 0
    In addition to the other very helpful comments, see: http://www.wolframalpha.com/input/?i=Solve%5BAbs%5Bx%5E2-y%5E2%5D%20%3C%3D%202%20x%20%2B%202%20y%20-%204%20x%20y%5D&t=crmtb012012-09-12
  • 1
    check your question if it is a valid or not before asking.2012-09-12

3 Answers 3