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# PROVE THAT THE DIFFERENCE OF TWO ODD INTEGERS IS EVEN...

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Author: Henry Carol
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PROVE THAT THE DIFFERENCE OF TWO ODD INTEGERS IS EVEN. GIVE A JUSTIFICATION AT EACH STEP.

http://theperfecthomework.com/prove-that-the-difference-of-two-odd-integers-is-even-give-a-justification-at-each-step/

1. Prove that the difference of two odd integers is even. Give a justification at each step.2. Prove that the sum of any two rational numbers is a rational number. Give a justification at eachstep.3. Prove by contradiction that there is no greatest integer.4. Prove by contraposition that for all integers n, if n2 is even then n is even.5. Prove using mathematical induction: ∀ integers n ≥ 1, 2 + 4 + ... + 2n = n2 + n. Give justificationsfor each step.

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