3. Check whether the following pair of statements are negation of each other. Give reasons for your answer.
(i) is true for every real numbers and .
(ii) There exists real numbers and for which .
p: is true for every real numbers and .
q: There exists real numbers and for which .
The negation of p is:
There exists no real numbers x and y for which
which is not equal to q.
Hence the given pair of statements are not negation of each other.