SOLUTION: Find all n that belongs to the natural numbers satisfying the following inequality. (n^(2))<(n-1)! (!) means factorial

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Question 26380: Find all n that belongs to the natural numbers satisfying the following inequality.
(n^(2))<(n-1)!
(!) means factorial
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If n=1, 1^2=1 (1-1)! is meaningless
If n=2, 2^2=4 (2-1)!=1 ;2 does not meet the criteria
If n=3, 3^3=9 (3-1)!=2 ;3 does not meet the criteria
If n=5, 5^2=25 4!=24 does not meet criteria
If n=6, 6^2=36 (6-1)!=120 meets the criteria
Ifn=7, 7^2=49 6!=720 meets the criteria
Looks like all n>5 meet the criteria
Cheers,
Stan H.