I'm trying to negate the statement ∀ x ∈ ℤ, X^2 > 0 i believe that ∃ x ∈ ℤ, ~(X^2 > 0) is technically the right answer, but can it be further changed to ∃ x ∈ ℤ, X^2 < 0 ?
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You are correct. For every number $\displaystyle x$, $\displaystyle \neg(x\ge 0)$ is equivalent to $\displaystyle x<0$.
ok, thank you
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