Solve the following inequation and represent the solution set on the number line.

$7\le 5\left(3x+1\right)-2<13,x\in R$

Solve the following inequation and represent the solution set on the number line.

$2\ge 4\left(5-x\right)+3\ge -10, x\in Z$

Solve the following inequation and represent the solution set on the number line.

$-\frac{3}{4}<-\frac{x}{4}-2\le \frac{3}{4}, x\in R$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-2<2x-5<\frac{2}{3}$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-5\le x+2\le 7$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-6<4x-3\le 11$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-4\le \frac{3x}{2}+3<5$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-2<3\left(4x-5\right)<8$

Solve the equation if $x$ is an integer and represent the solution set on a number line.

$-\frac{5}{2}\le \frac{x-7}{5}\le \frac{5}{2}$