Provide an Appropriate Response $x$ Satisfy the Equation $\lfloor x \rfloor = \lceil x \rceil$

Multiple Choice

Provide an appropriate response.
-What real numbers $x$ satisfy the equation $\lfloor x \rfloor = \lceil x \rceil$ ?

A) $\{ x \mid x = 0 \}$
B) $\{ x \mid x \in$ real numbers $\}$
C) $\{ x \mid x \in$ integers $\}$
D) $\varnothing$