How long was your longest relationship?

Consider the set of numbers from 1 to 29 with all multiples of 5 and multiples of 6 removed. This is the set X = {1, 2, 3, 4, 7, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 23, 26, 27, 28, 29} We say that a member x of X is possible if x can be written as 5a + 6b for some a = 1, 2, 3, or 4 and be = 1, 2, 3, or 4. We pair every possible number, x = 5a + 6b, with an impossible number x' = -5a + 6(5-b).

The list is shown below. Note that it will always be true that x + x' = 30. Possible············impossible ----------------········---------------...? 11 = 5 + 6·········19 = -5 + 24 16 = 10 + 6·······14 = -10 + 24 17 = 5 + 12·······13 = -5 + 18 21 = 15 + 6········9 = -15 + 24 22 = 10 + 12······8 = -10 + 18 23 = 5 + 18········7 = -5 + 12 26 = 20 + 6········4 = -20 + 24 27 = 15 + 12······3 = -15 + 18 28 = 10 + 18······2 = -10 + 12 29 = 5 + 24········1 = -5 + 6 In order for an impossible number to be really impossible, it must be impossible to write it as 5A + 6B where A and B are both non-negative numbers.

The general form of our impossible numbers is.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.