P(n): n! > 3n for n ≥ 7. What is the Base Step?

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Let $P(n): n! > 3n$ for $n ≥ 7$ . Since we prove that statement is true for all $n ≥ 7$ , we conclude that the Base Step is for $n=7$ , that is $P(7): 7! > 3\cdot 7$ which is equivalent to $5040>21.$

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Question ID: mtid-5-stid-8-sqid-3241-qpid-1940