Consider the function y Can x be 0?
-What real numbers $x$ satisfy the equation $\lfloor x \rfloor = \lceil x \rceil$ ?
A) $\{ x \mid x \in$ integers $\}$
B) $\{ x \mid x = 0 \}$
C) $\{ x \mid x \in r e a l$ numbers $\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The only time that $\lfloor x \rfloor = \lceil x \rceil$ is when $x$ is an integer. For example, if $x = 2.5$ then $\lfloor x \rfloor = 2$ and $\lceil x \rceil = 3$, so they are not equal. Therefore, the set of real numbers that satisfy this equation is only the set of integers.

Consider the Function Y Can X Be 0? -What Real xxx

Consider the Function Y Can X Be 0?
-What Real $x$