The number of integral values of $x$ satisfying $5x - 1 < (x + 1)^2 < 7x - 3$ is

Eleven apples are distributed among a girl and a boy. Then,which one of the following statements is true?

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

Find all pairs of consecutive odd positive integers,both of which are smaller than $18$,such that their sum is more than $20$.

The solution set for the system of linear inequations $x+y \geq 1$,$7x+9y \leq 63$,$y \leq 5$,$x \leq 6$,$x \geq 0$,and $y \geq 0$ is represented graphically. Which of the following figures represents the correct solution set?

The set of all real values of $x$ satisfying the inequalities $x^2-4x+3 > 0$ and $x^2-2x-8 \leq 0$ is