Determine the truth value of each of these statements if the domain consists of all integers. state your reason.
1. ∀x, (x^2>x)
2. ∃y, (y<y/2-1)
3. ∀y, (y^2≠ y)
4. ∃x, y, (4x>5y) where x<y
5. ∀x, y, (xy>0) where x=y
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