Suppose you have only 3¢ and 5¢ stamps. (a) Find all values less than 10¢ for which you cannot form exact postage using only 3¢ and 5¢ stamps. (b) Let M be the integer that is one higher than the highest value from part (a). And let P be the predicate on N: P(n) "Exact postage for n¢ can be formed with only 3¢ and 5¢ stamps." Prove the following: Vn E N: (n 2 M)(P(n)).

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