Question

Exhibit a bijection between 'n' and the set of all odd integers greater than 13.

a) n → 2n + 1, for n > 13
b) n → n/2 + 1, for n > 13
c) n → 3n - 1, for n > 13
d) n → n^2 - 1, for n > 13

Answer 1

To exhibit a bijection between 'n' and the set of all odd integers greater than 13, we can use the function n → 2n + 1 for n > 13.

Step-by-step explanation:

To exhibit a bijection between 'n' and the set of all odd integers greater than 13, we can use the function n → 2n + 1 for n > 13. This function takes any number 'n' greater than 13 and maps it to a unique odd integer greater than 13. For example, if we choose n = 14, the function gives us 2(14) + 1 = 29, which is an odd integer greater than 13. Similarly, if we choose n = 15, the function gives us 2(15) + 1 = 31, and so on.