Order 8 of the following sentences so that they form a logical proof by contrapo

Question

Order 8 of the following sentences so that they form a logical proof by contrapositive of the statement the sum of two integers is even then they have the same parity Choose from these sentences Suppose z and y are integers with opposite parity z+y=2k + 2j + 1 + y is odod s such that z + y = 2s + 1 3k,j e Z such that z 2k and y=2j + 1 Your Proof: Without loss of generality assume z is even and y is odd Either z is odd and y is even or a is even and y is odd Therefore, z + y is even z and y have the same parity. Assume z y even implies z and y have the same parity Hint You will need to use the statement Without loss of generality assume z is even and y is odd.* To use it, what statements must statement or two regarding the existence of z and y

Explanation / Answer

This proof requires the following order of the statements ... 9,1,7,6,5,2,4,3,8

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