R S Aggarwal Solutions for Exercise 2: EXERCISE 6B

If the solution set of the inequation $\frac{|x-2|}{(x-2)}>0,x\ne 2$ is $\left(k,\infty \right)$, then find $4k$.

If the solution set of the inequation $\frac{x+1}{x+2}>1$ is $\left(-k,\infty \right)$, then find $k^4$.

If the solution of the system of inequations $x-2\ge 0,2x-5\le 3$ is $\left(2,k\right)$, then find $k$.

If the solution of $x+5>4x-10,$ when $x\in R$ is $\left(-\infty ,k\right)$, then find $4k$.

If the solution of $\frac{3}{x-2}<1,$ when $x\in R$ is $\left(-\infty ,k\right)\cup \left(5,\infty \right)$, then find $5k$.

If the solution of  $\frac{x}{x-5}>\frac{1}{2},$ when $x\in R$ is $\left(-\infty ,-k\right)\cup \left(k,\infty \right)$, then find $k^3$.

If solution of $\left|x\right|<4,$ where $x\in R$ is $\left(-k,k\right)$, then find $k^2$.

If the solution of $\left|x\right|>4,$ where $x\in R$ is $\left(-\infty ,-k\right)\cup \left(k,\infty \right)$, then find $k^2$.