To solve the inequality 5 < r < 3, we need to understand what it means. The inequality states that r must be greater than 5 and also less than 3 at the same time.
However, there is no number that can be both greater than 5 and less than 3 simultaneously. Therefore, there are no possible values for r that satisfy this inequality.
In conclusion, the inequality 5 < r < 3 has no solution.