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

Given inequality: $\frac{2x-1}{3} + 5 < \frac{3x-1}{2} - 2$
Multiply the entire inequality by $6$ to clear the denominators:
$2(2x-1) + 30 < 3(3x-1) - 12$
$4x - 2 + 30 < 9x - 3 - 12$
$4x + 28 < 9x - 15$
Subtract $4x$ from both sides:
$28 < 5x - 15$
Add $15$ to both sides:
$43 < 5x$
Divide by $5$:
$x > \frac{43}{5}$ or $x > 8.6$
The solution set is $(8.6, \infty)$.
On the number line,this is represented by an open circle at $8.6$ with a line extending to the right.