SOLUTION: The sum of two consecutive positive integers is less than or equal to 10. Find all possible pairs of integers.

Question 1182468: The sum of two consecutive positive integers is less than or equal to 10. Find all possible pairs of integers.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Of course the problem is quickly and easily solved without formal mathematics:
1 and 2
2 and 3
3 and 4
4 and 5

But if this is an exercise in setting up problems for solving using formal mathematics....

x = smaller integer
x+1 = larger integer

The sum of the two integers is less than 10:
(x)+(x+1) < 10
2x+1 < 10
2x < 9
x < 4.5

The smaller integer is positive and less than 4.5; the possibilities are 1, 2, 3, and 4 -- leading, of course, to the set of pairs above.

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