I need help with problem 32, (discrete structure) chapter 2 section 2

31. Prove that n? > n + 1 for n 2 2. 32. Prove that n2 2n + 3 for n 23. 33. Prove that n > Sn + 10 for n > 6. 34. Prove that 2">nfor n 25. In Exercises 35-40,n! is the product of the positive integers from 1 ton. 35. Prove that n!>nforn 24. Section 2.2 Induction 36. Prove that n! >w' for n 26. 37. Prove that n! > 2" for 24. 38. Prove that n! > 3" for n 27. 39. Prove that n! 2 2"-' for n 2 1. 40. Prove that n!