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

The longest side of a triangle is twice the shortest side and the third side is $2 \text{ cm}$ longer than the shortest side. If the perimeter of the triangle is more than $166 \text{ cm}$, then find the minimum length of the shortest side. (in $\text{ cm}$)

The region satisfying the inequalities $y - x \geq 2$, $x + y \leq 5$, $x \geq 0$, and $y \geq 0$ is represented by:

The number of points $P(x, y)$ with natural numbers as coordinates that lie inside the quadrilateral formed by the lines $2x + y = 2$,$x = 0$,$y = 0$,and $x + y = 5$ is

The $IQ$ of a person is given by the formula $IQ = \frac{MA}{CA} \times 100$,where $MA$ is mental age and $CA$ is chronological age. If $80 \leq IQ \leq 140$ for a group of $12$ years old children,find the range of their mental age.

The maximum value of $x$ in the set $\{x \in R : \sqrt{x+2} > \sqrt{8-x^2}\}$ is: