G Tewani Solutions for Chapter: Inequalities and Modulus, Exercise 2: DPP

The solution of the inequality $\frac{|x+2|-\left|x\right|}{\sqrt{8-x^3}}\ge 0$ is

If $\left|\frac{12x}{4x^2+9}\right|\le 1$, then

Let $a, b, c$ and $d$ be real numbers, such that $|a-b|=2, |b-c|=3$ and $|c-d|=4$. Then, the sum of all possible values of $|a-d|$ is

The number of solutions of the equations $\sqrt{x^2}-\sqrt{(x-1{)}^2}+\sqrt{(x-2{)}^2}=\sqrt{5}$ is

If $\left|x^2-2x-8\right|+\left|x^2+x-2\right|=3|x+2|$, then the set of all real values of $x$ is

The number of integers satisfying the equation $\left|x\right|+\left|\frac{4-x^2}{x}\right|=\left|\frac{4}{x}\right|$ is

The equation $\left|2ax-3\right|+\left|ax+1\right|+\left|5-ax\right|=\frac{1}{2}$ possesses

The set of values of $x$ satisfying $\left|\frac{x^2-5x+4}{x^2-4}\right|\le 1$ is: