If and , then the number of possible values of is Note: and denote the greatest…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

[x]^2+[x-2]<0

and

\{x\}=\frac{1}{2}

, then the number of possible values of

x

is Note:

[x]

and

\{x\}

denote the greatest integer less than or equal to

x

and the fractional part of

x

, respectively. (a)

4

(b)

3

(c)

2

(d)

1