What is the sum of all integers that is greater than -8 but less than 6?

univerkov | May 9, 2021 | education

Find the sum of all integers between – 8 and 6.
That is, – 8 <x <6. Let us list the entire solutions of this inequality: – 7, – 6, – 5, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5. In order to find the sum of all whole solutions, they must be added. Then we get:
– 7 + (- 6) + (- 5) + (- 4) + (- 3) + (- 2) + (- 1) + 0 + 1 + 2 + 3 + 4 + 5 = – 7 + (- 6) + (- 5) + (- 4) + (- 3) + 3 + 4 + 5 = – 7 + (- 6) = – 7 – 6 = – 13.
This means that the sum of the integers in the range from – 8 to 6 is – 13.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.