1. The problem statement, all variables and given/known data For all integers y, there is an integer x such that x^2 + x = y. 2. Relevant equations 3. The attempt at a solution Is it there exists an integer y such that for all integers x, x^2 + x = y OR There exists an integer y such that for all integers x, x^2 + x DOES NOT EQUAL y? I believe it is the second one but I'm not sure. I'm not trying to actually prove this.