Floor function equation

Algebra Level 2

5x=15 \big\lfloor 5 - \lfloor x \rfloor \big\rfloor = 15

If all the values of xx that satisfy the equation above are in the interval ax<ba \le x < b, find the product abab.


Note: x \lfloor x \rfloor is the floor function, or the greatest integer function.

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