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

Question 803422: find all sets of two consecutive positive odd integers with the sum that is at least 8 and less than 24

Answer by Edwin McCravy(20063) (Show Source): You can put this solution on YOUR website!

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

RELATED QUESTIONS
Find all sets of two consecutive positive odd integers with a sum that is at least 8 and... (answered by CubeyThePenguin)

Find all sets of two consecutive positive odd integers whose sum is no greater than... (answered by stanbon)

find all sets of four consecutive odd integers that are positive and whose sum is at most (answered by checkley71)

Find all sets of four consecutive odd integers that are positive and whose sum is at most (answered by mananth)

Find all sets of four consecutive odd integers that are positive and whose sum is at most (answered by Fombitz)

find all sets of four consecutive odd integers that are positive and whose sum is at most (answered by solver91311)

Find all sets of three consecutive odd integers whose sum is at least 47 less than 4... (answered by robertb,mananth)

Find all sets of three consecutive positive odd integers whose sum is less than 20 but... (answered by checkley71)

Finbd all sets of three consecutive positive odd integers whose sum is less than 20 but... (answered by edjones)