If $5x \geq -10$ and $x \in N$,then $x \in$?

Solve the given inequality and show the graph of the solution on a number line:
$\frac{x}{2} \geq \frac{5x-2}{3} - \frac{7x-3}{5}$

Solve the inequalities and represent the solution graphically on a number line:
$2(x-1) < x+5, 3(x+2) > 2-x$

Solve $5x - 3 < 7$,when $x$ is a real number.

Let $a, b, c, d$ be numbers in the set $\{1, 2, 3, 4, 5, 6\}$ such that the curves $y = 2x^3 + ax + b$ and $y = 2x^3 + cx + d$ have no point in common. The maximum possible value of $(a - c)^2 + b - d$ is

Solve the following system of linear inequalities and represent the solution graphically on a number line:
$3x - 7 > 2(x - 6), 6 - x > 11 - 2x$