In the following questions given below, certain symbols @, *, #, & , + are used with the following meaning as illustrated below-
A @ B means A is greater than B
A * B means A is either greater than or equal to B
A # B means A is equal to B
A & B means A is either smaller than or equal to B
A + B means A is smaller than B
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below than is/are definitely true and give your answer accordingly.

Statements: T * U , U & W , V @ L , W + V Conclusions: (I) V @ T (II) L # W

Solve the following inequation and represent the solution set on the number line.

$\frac{3x}{5}+2<x+4\le \frac{x}{2}+5, x\in R$

The speed of a boat in still water and the speed of the current is in ratio $5:1$. If the difference between distances covered by the boat in going $2 \mathrm{hours}$ upstream and $2 \mathrm{hours}$  downstream is $8 \mathrm{km}$.

I. Quantity I - Speed of boat in still water

II. Quantity II -A cyclist goes $30 \mathrm{km}$ in $3 \mathrm{hours}$ 

Find the relation between these two quantities.

Solve the following inequality, write down the solution set and represent it on the real number line:

$-2+10x\le 13x+10<24+10x, x\in Z$

Solve the following inequation and write down the solution set $11x-4<15x+4\le 13x+14, x\in W$.

Represent the solution on a real number line.  

Two equations are given, you have to solve the both the equations:

$\left(i\right) X^2=196$

$\left(ii\right) Y^2+2y-48=0$

$\mathrm{Quantity} \mathrm{I}=18 {\mathrm{x}}^3{\mathrm{y}}^3, \mathrm{Quantity} \mathrm{II}=12 {\mathrm{x}}^4{\mathrm{y}}^4, \mathrm{if} \mathrm{x}>0 \& \mathrm{y}<0$

Find the relation between these two quantities.