Question

If $[x{]}^2-5[x]+6=0$, where $[x]$ denotes the greatest integer function, then

• A. $x\in [3,4]$
• B. $x\in [2,4)$
• C. $x\in [2,3]$
• D. $x\in (2,3]$

Answer 1

Answer: (B)

$([x]-2)([x]-3)=0$
$\Rightarrow [x]=2\text{ or }[x]=3$
$\Rightarrow x\in [2,4)$