Answer:
a) “There is no integer n such that for all integers m, m<n”
b) The proposition is false and its negation true.
Step-by-step explanation:
a)
The negation of the proposition is
“There is no integer n such that for all integers m, m<n”
b)
It is easy to prove that the proposition is false.
If there existed such an integer n , then since n+1 is an integer, n+1 < n, which is a contradiction.
So such an integer n cannot exist.
Since the proposition is false, its negation is true.
