SOLUTION: find all sets of two consecutive positive odd integers with the sum that is at least 8 and less than 24

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1
Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24
8 ≦ 2n+1+2n+3 < 24
8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4} 

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7}, {7,9}, (9,11}

Edwin