Write the set of value of n for which the statement P(n):

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Question:
Write the set of value of n for which the statement P(n): 2n < n! is true.

Solution:

As, n! > 2n when n > 3.

So, the set of value of n for which the statement P(n): 2n < n! is true = {n $\in "> \in$ N: n > 3}.