If $\left[\log_2\left(\frac{x}{[x]}\right)\right]≥0$, where [.] denotes the greatest integer function, then
Answer & explanation
Correct answer: option 4
$\left[\log_2\left(\frac{x}{[x]}\right)\right]≥0⇒\log_2\left(\frac{x}{[x]}\right)≥0⇒\frac{x}{[x]}≥1⇒\frac{x-[x]}{[x]}≥0⇒\frac{\{x\}}{[x]}≥0$
It implies that ‘x’ is any positive real number greater than or equal to one or ‘x’ is any non zero integer.