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) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $\lfloor x \rfloor = \lceil x \rceil$ is only satisfied when $x$ is an integer (because the floor and ceiling of an integer are the same). Therefore, the set of real numbers that satisfy the equation is the set of integers $\{ x \mid x \in $ integers $\}$ which is Answer Choice C.

Provide an Appropriate Response xxx Satisfy the Equation ⌊x⌋=⌈x⌉\lfloor x \rfloor = \lceil x \rceil⌊x⌋=⌈x⌉

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