The solution set of the equation $3^{x}+3^{1-x}-4 < 0$ contained in $R$ is

The common solution set of the inequations $x^{2}-4 x \leq 12$ and $x^{2}-2 x \geq 15$ taken together is

With respect to the roots of the equation $3 x^{3}+b x^{2}+b x+3=0$, match the items of List I with those fo List II

List I	List II
A All the roots are negative.	I. $(b-3)^2=36+P^2$ for $P \in R$
B Two roots are complex.	II. $-3<b<9$
C Two roots are positive.	III. $b \in(-\infty,-3) \cup(9, \infty)$
D All roots are real and	IV. $b=9$
	V. $b=-3$

If $\alpha, \beta$ are the roots of the equation $x+\frac{4}{x}=2 \sqrt{3}$, then $\frac{2}{\sqrt{3}}\left|\alpha^{2024}-\beta^{2024}\right|=$