Write the negation of each of the following statements:
p: All birds have wings.
q: For every real number `x, x^(2) gt x.`
r: There exists a real number x such that `0 lt x lt 1.`
s: For every real number x, either `x gt 1 or x lt 1.`

Explanation

We have:
~p: There exists a bird which has no wings.
~q: There exists a real number x such that `x^(2)` is not greater than x.
~r: There does not exist a real number x such that `0ltxlt1.`
~s: There exists a real number x such that neither `xgt1" nor "xlt1`.