1. The problem statement, all variables and given/known data Use M.I. to prove that n! > n^3 for n > 5 3. The attempt at a solution I already proved n! > n^2 for n>4, but this is nothing like that. This is my inductive step so far. n=k+1 (k+1)! > (k+1)^3 (k+1)! - (k+1)^3 > 0 (k+1)! - (k+1)^3 = (k+1)[k! - (k+1)^2] > (k+1)[k^3 - (k+1)^2] This is how far I can get, any hints? Am I going in the right track or am I going in the wrong direction completely?