Question: Answer Parts 1 and 2 below: Part 1:Using mathematical induction, show that 2^n < n! for all positive integers n >= 4.Be sure to specify

Answer Parts 1 and 2 below:

Part 1:Using mathematical induction, show that 2^n < n! for all positive integers n >= 4.Be sure to specify your Basis Step and Induction Step, as shown in Section 2.4.

Part 2:Using a truth table, prove the following (Property 11 of Theorem 1 on page 59):

~(p ^ q) = (~p) v (~q)

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