To solve the inequality 5 < r < 3, we need to analyze its components and intervals carefully. First, let’s break this down into two parts:
- 5 < r: This means that r must be greater than 5.
- r < 3: This means that r must be less than 3.
Now, let’s put these two parts together:
For r to satisfy both 5 < r and r < 3, it would need to be greater than 5 and less than 3 at the same time. However, there are no values of r that can satisfy both conditions simultaneously, as any number that is greater than 5 cannot also be less than 3.
Therefore, there are no possible values of r that satisfy the inequality 5 < r < 3.