Browse Questions

# If $[2x-3]=5$, what are the values of $x$ where $[.]$ is greatest integer function

(A) $[2,\frac{9}{2}]$ (B) $[4,\frac{9}{2})$ (C) $[2,\frac{9}{2})$ (D) $[4,\frac{9}{2}]$

Toolbox:
• $If[x]=k,\: \:then\:\: k\leq x< k+1$
given: $[2x-3]=5$
$\Rightarrow \:5\leq 2x-3 <\:6$
$\Rightarrow \:8\leq 2x <\:9$
$\Rightarrow\:4\leq x <\:\frac{9}{2}$
$x\in [4,\frac{9}{2})$