Modulus or Absolute Value Function

The solution of $|x{|}^{x^2-x-2}<1$ is

The solution of $2^x+2^{\left|x\right|}\ge 2\sqrt{2}$ is:

The solution of $\left|\left|x\right|-1\right|<|1-x|, x\in R$ is:

The solution of $\left|x^2+3x\right|+x^2-2\ge 0$ is:

Solution of inequality $\left|x+\frac{1}{x}\right|<4$ is:

Solution of inequality $\left|\mathrm{x}+3\right|>|2\mathrm{x}-1|$ is:

Solution of inequality $x^2+x+\left|x\right|+1\le 0$ is:

Solution of the inequality $\left|x-1\right|<0$ is: