Solving Inequalities with Unknowns in the Denominator

Q. If the solution of $\frac{20}{x}-\frac{4}{x}\ge 8$ and $x>0$ is $x\le k$, where $k$ is a variable, then $k=$

1. 2

Q. Find the value of $x$ in $\frac{3}{x}+\frac{9}{\frac{x}{2}\times 2}\ge \frac{9}{3}$, if $x$ is a positive number.

1. $4\le x$
2. $4<x$
3. $4\ge x$
4. $\frac{1}{4}\le x$

Q.

Fill in the blank $(+5)+(-6)\_\_\_\_\_\_\_\_\_\_\_\_\_\_-2-(+3)$ using $<,>$or $=$to make the sentence true.

Q. Find the value of $x$ in $\frac{32}{x}-\frac{12}{x}+\frac{11}{x}\le -3$, if $x$ is a negative number.

1. $x\le \frac{23}{3}$ and $x>0$
2. $x\le \frac{-23}{3}$ and $x<0$
   
   
3. $x\le \frac{3}{23}$ and $x<0$
   
4. $x\ge \frac{-23}{3}$ and $x<0$