Answers:
(i)
The negation of the statement:
p: For every positive real number x, the number (x – 1) is also positive.
~p: There exists a positive real number x, such that the number (x – 1) is not positive.
(ii)
The negation of the statement:
q: For every real number x, either x > 1 or x < 1.
~q: There exists a real number such that neither x>1 or x<1.