The set of all real values of $x$ satisfying the inequation $\frac{8x^2-14x-9}{3x^2-7x-6} > 2$ is

$A$ manufacturer has $600 \text{ litres}$ of a $12 \%$ solution of acid. How many litres of a $30 \%$ acid solution must be added to it so that the acid content in the resulting mixture will be more than $15 \%$ but less than $18 \%$?

The solution set of the inequation $\frac{x^{2}+6x-7}{|x+4|} < 0$ is

$A$ solution is to be kept between $86^{\circ} F$ and $95^{\circ} F$. What is the range of temperature in degree Celsius if the Celsius $(C)$/Fahrenheit $(F)$ conversion formula is given by $F = \frac{9}{5} C + 32$?

The region represented by the inequations $2x + 3y \leqslant 18$,$x + y \geqslant 10$,$x \geqslant 0$,$y \geqslant 0$ is

The longest side of a triangle is $3$ times the shortest side and the third side is $2 \, cm$ shorter than the longest side. If the perimeter of the triangle is at least $61 \, cm$,find the minimum length of the shortest side. (in $, cm$)