Let $A$ denote the set of all real numbers $x$ such that $x^3-[x]^3=\left(x-[x]^3\right)$, where $[x]$ is the greatest integer less than or equal to $x$. Then,
Let $A$ denote the set of all real numbers $x$ such that $x^3-[x]^3=\left(x-[x]^3\right)$, where $[x]$ is the greatest integer less than or equal to $x$. Then,
- [KVPY 2020]
- A
$A$ is a discrete set of a least two points
- B
$A$ contains an interval, but is not an interval
- C
$A$ is an interval, but a proper subset of $(-\infty, \infty)$
- D
$A=(-\infty, \infty)$
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