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2020-03-09

Practice Midterm Solution Problem 2.

2 (a) let f(n) = 2n where n is any integer Assuming that f(a) = f(b) Then, f(a) = 2a = f(b) = 2b

            2a = 2b
              a = b by cancellation

Also, f(n) always equals to 2i for some int i Therefore, the set of even numbers is countable.

(Edited: 2020-03-09)

2 (a) let f(n) = 2n where n is any integer Assuming that f(a) = f(b) Then, f(a) = 2a = f(b) = 2b 2a = 2b a = b by cancellation Also, f(n) always equals to 2i for some int i Therefore, the set of even numbers is countable.

-- Practice Midterm Solution Problem 2

(Edited: 2020-03-09)

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