Determine if the following statements are true or false. Prove your answers. Specify the needed constants and show the defintions holds for them.

A) 3 lg n = O(sqrt(n))

B) 2 n lg n = O(n²)

C) n² = O(n)

D) 2 - 10 n + n² = (n²)

E) lg 2ⁿ is (n²)