List of top Mathematics Questions on linear inequalities asked in KEAM

Suppose $a, b$ and $c$ are real numbers such that $ \frac{a}{b}>1 $ and $ \frac{a}{c}<0 $ . Which one of the following is true?

If $r$ is a real number such that $ |r| < 1 $ and if $ a=5(1-r), $ then

If $|x - 3| < 2x + 9$ then $x$ lies in the interval

If $\frac{|x-3|}{x-3}$ > 0 , then

If $|z + 1| < |z - 1|$ , then $z$ lies

The solution set of $\frac{x+3}{x-2} \le\,2$ is

The set of all real $ x $ satisfying the in equal $ \frac{3-|x|}{4-|x|}\ge 0 $