for which of the following statements would it not be reasonable?

Question

to try an induction proof? give reasons for your answer.. (please)
a) for every positive integer n, 8 divides 5^n + (2)[3^(n-1)]+1
b) for some positive integer n, n^2 - 2n > 0
c) for every integer x > 2, x^2 - 2x > 0
d) for every integer n > 4, n! > n^2
e) for every rational number n > 1, n^2 > n
f) for every positive integer t, (1+x)^t >= 1+tx if x>= -1
g) det(AB) = det(A)det(B) for every nxn matrices A,B

Answer 1

The answer is e), because proofs by induction work for integers and not necessarily rational numbers. Every statement except for e) deals with the usage of integers. g) doesn't explicitly state it, but we know that matrices are n x n, where n is a positive integer.