SMO 2012 Junior Round 1 Question 9

Question 9

Given that $y$, defined by the expression below, is an integer, which statement is incorrect?

Question illustration

Editorial transcription note: the numerator's special symbols are corrupted in the supplied PDF and cannot be transcribed reliably. The original formula is retained here for review; no definite replacement is assumed.

x can be any nonzero integer.
x can be any positive number.
x can be any negative number.
y can take the value 2.
y can take the value −2.