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

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and 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