The sum of two consecutive integers is between 5 and 9. What are the two integers? Tell the two numbers only

Trial and error:

6?
7?
8?

To find the two consecutive integers, we can start by setting up the inequalities based on the given information.

Let's assume the two consecutive integers are x and x + 1.

According to the problem, their sum should be between 5 and 9:

5 < x + (x + 1) < 9

Simplifying the expression, we get:

5 < 2x + 1 < 9

Next, we can subtract 1 from all sides of the inequality to isolate 2x:

4 < 2x < 8

Dividing all sides of the inequality by 2, we find:

2 < x < 4

Therefore, the possible values for x are 3 and 2.

Hence, the two consecutive integers are 2 and 3.