Question

If $x\in [-4,-1]$,
then $\frac{1}{x}$ belongs to

• A. $[-4,-1]$
• B. $[-1,-\frac{1}{4}]$
• C. $(-\infty ,-1)\cup (-\frac{1}{4},\infty )$
• D. $(-\infty ,-\frac{1}{4})$

Answer 1

The correct option is B $[-1,-\frac{1}{4}]$

Here, $x\in [-4,-1]$
Since, $(-4)(-1)>0$
So, $\frac{1}{x}\in [-1,-\frac{1}{4}]$