3^n < n! for all n > 6 with n ∈ N.
mathematical induction to prove these?
Verify the base case . . .Prove by induction: .
. . . . . True
Multiply both sides by 3: . .
. . Since
. . Multiply by .
Combine  and : .
. . Therefore: .
And we have proved . . . The inductive proof is complete.