SOLUTION: Find all pairs of consecutive even positive integers both of which is greater than 5 such that their sum is less than 23

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Question 722045: Find all pairs of consecutive even positive integers both of which is greater than 5 such that their sum is less than 23
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even positive integers
Smaller integer = x
Larger integer = x+2

both of which is greater than 5
x > 5, and since it is an integer, x ≧ 6

their sum is less than 23
x + (x+2) < 23
x + x + 2 < 23
   2x + 2 < 23
       2x < 21
        x < 10.5
        x ≦ 10

x ≧ 6 is the same 6 ≦ x so we are to use 
integers in this interval

6 ≦ x ≦ 10

 x   x+2
 6    8
 8   10
10   12

Edwin