In: Advanced Math
Prove these scenarios by mathematical induction:
(1) Prove n2 < 2n for all integers n>4
(2) Prove that a finite set with n elements has 2n subsets
(3) Prove that every amount of postage of 12 cents or more can be formed using just 4-cent and 5-cent stamps

Hence, n2 < 2n for all integers n>4

Hence,A finite set with n elements has 2n subsets

Hence every amount of postage of 12 cents or more can be formed using just 4-cent and 5-cent stamps