The feasible region represented by the inequations $2x + 3y \leq 18$,$x + y \geq 10$,$x \geq 0$,$y \geq 0$ is

For a positive integer $n$,if $10^{n-2} > 91n$,then the complete set of values of $n$ is:

Let $a$ $(a < 0, a \notin I)$ be a constant and $t$ be a parameter. Then the set of values of $t$ for which the function $f(x) = \left( \frac{|[t]+1|+a}{|[t]+1|+1-a} \right)x$ is a decreasing function of $x$ (where $[.]$ denotes the greatest integer function) is:

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

Find all pairs of consecutive odd natural numbers,both of which are larger than $10$,such that their sum is less than $40$.

The region formed by the inequalities $x, y \geq 0, y \leq 6, x+y \leq 3$ is $.....$