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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.