Consider (i), i.e.
Then since y is positive, y+1 is certainly positive Contradiction. Hence y<0
Consider (ii), i.e.
But since y > -1, we certainly have that y+1 is positive and Contradiction. Hence y must be less than or equal to 1.
Consider (iii), i.e.
Then . Contradiction.
Hence, there exists no such .
EDIT: I don't know why I used y instead of x. Sorry.