Odd and even We’ll say that an integer n is even if it can be written as n = 216 for some integer k. We’ll say that an integer n is odd if it can be written as n = 216 + 1 for some integer It. You may assume that 1 is not even. a) Prove that no integer is both odd and even. b) Prove that every integer is either odd or even. (Hint: start by proving that every natural number is either odd or even.)

Odd and even We’ll say that an integer n is even if it can be written as n = 216 for some integer k.
We’ll say that an integer n is odd if it can be written as n = 216 + 1 for some integer It.
You may assume that 1 is not even. a) Prove that no integer is both odd and even. b) Prove that every integer is either odd or even. (Hint: start by proving that every
natural number is either odd or even.)

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The post Odd and even We’ll say that an integer n is even if it can be written as n = 216 for some integer k. We’ll say that an integer n is odd if it can be written as n = 216 + 1 for some integer It. You may assume that 1 is not even. a) Prove that no integer is both odd and even. b) Prove that every integer is either odd or even. (Hint: start by proving that every natural number is either odd or even.) appeared first on Superb Professors.