Solve $5x - 3 < 3x + 1$ when $x$ is an integer.

Solve the following inequality and represent it on a number line: $\frac{2x-1}{3} + 5 < \frac{3x-1}{2} - 2$

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 given inequality for real $x$: $\frac{(2x-1)}{3} \geq \frac{(3x-2)}{4} - \frac{(2-x)}{5}$

Solve the given inequality for real $x: 3(x-1) \leq 2(x-3)$

Solve the following inequality and represent it on a number line: $\frac{x}{3} + 5 \geq \frac{x}{2} + 7$