Basic of Mathematics

The inequality representing the following graph is

The solution for the following system of inequalities $x+5 \leq 4(x-1) ; 3-2 x>-7$ on a real number line

"A storage room must be kept at a temperature (T) such that triple the temperature is at least $15^{\circ}$ C, but the temperature plus 8 is not more than $20^{\circ}$ C. What is the range of safe temperatures?"

$\frac{x-1}{3 x+4} < \frac{x-3}{3 x-2}$ holds, for all $\mathrm{x}$ in the interval

The set $\left\{x \in \mathbb{R}: 4+11 x-3 x^2>0\right\}$ is the interval

$\left\{x \in R: \frac{14 x}{x+1}-\frac{9 x-30}{x-4} < 0\right\}$ is equal to

For a parallelogram $A B C D$, if $L$ and $M$ are mid-points of $B C$ and $C D$, then $\mathbf{A L}+\mathbf{A M}=$

If $\left(x^{2}+5x+5\right)^{x+5}=1$then the number of integers satisfying this equation is

The set $\left\{x \in \mathbb{R}: 16\left(2^X\right)>16^{\frac{-1}{x}}\right\}=$

If $x, y$ are two positive integers such that $x+y=20$ and the maximum value of $x^3 y$ is $k$ at $x=\alpha, y=\beta$ then $\frac{k}{\alpha^2 \beta^2}=$

The least number among $\sqrt[3]{4}, \sqrt[4]{5}, \sqrt[4]{7}$ and $\sqrt[3]{8}$

If the area of a square is 575 square units, then the approximate value of its side is