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Week One Review Assignment

*1.*Provide vocabulary terms for each of the following definitions:

> A. Positive and negative whole numbers, and zero ( … -3, -2, -1, 0, 1, 2, 3, …)

> B. Numbers that can be written as 2k+1, where k is an integer

> C. Numbers that can be written as k*n where k is some integer, and n is a non-zero integer

> D. Numbers that can be written as 2k, where k is an integer*2.*Provide example numbers that are divisible by 3.*3.*What is a proof by exhaustion?*4.*What is a disproof by counterexample?*5.*What is a proof by contradiction?*6.*What is the contrapositive of the following statement:

> If you live in Arizona, then you do not practice daylight savings.*7.*What's the contrapositive of the following claim:

> If your pet is a dog, then your pet is allergic to chocolate.*8.*Translate the following sentence to a conditional statement:

> The sum of any two odd integers is even.

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