# Can Floor be equal to Ceiling? - 2

Algebra Level 3

$\Large 1^{\lfloor x \rfloor } = 1^{\lceil x \rceil }$

The set containing all values of $x$ that satisfy the above equation is __________.

Notation: $\lfloor \cdot \rfloor$ and $\lceil \cdot \rceil$ denote the floor and ceiling functions respectively.

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