# A fight between the floor and the ceiling

Algebra Level 3

$\large \left\{ \left \lfloor x \right \rfloor \right\} \ \boxed{\phantom{0}} \ \left\{\left \lceil x \right \rceil \right\}$

Let $$x$$ be any real number. Which of the given signs should fill the box to make the equation above true?

Notations:-

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