Floor function equation

Algebra Level 2

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

If all the values of \(x\) that satisfy the equation above are in the interval \(a \le x < b\), find the product \(ab\).

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

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