Provide an appropriate response.
-For what values of $x$ is $\lfloor x \rfloor = 3$ ?
A) $2

Question

Provide an appropriate response.
-For what values of $x$ is $\lfloor x \rfloor = 3$ ?
A) $2 < x \leq 3$
B) $2 \leq x < 3$
C) $3 < x \leq 4$
D) $3 \leq x < 4$

Quizplus · Accepted Answer

The notation $\lfloor x \rfloor$ represents the greatest integer less than or equal to $x$. Therefore, if $\lfloor x \rfloor = 3$, then we know that $x$ lies between 3 and 4, but is not equal to 4. The only interval that satisfies this condition is $[3,4)$, which is equivalent to $3 \leq x < 4$. Therefore, the answer is choice D.

Provide an Appropriate Response xxx Is ⌊x⌋=3\lfloor x \rfloor = 3⌊x⌋=3 ? A)

Provide an Appropriate Response $x$ Is $\lfloor x \rfloor = 3$ ?
A)