Solve the following inequality and represent it on a number line: $\frac{4x+1}{9} > \frac{9x+1}{4} - 2$

(N/A) Given inequality: $\frac{4x+1}{9} > \frac{9x+1}{4} - 2$
Multiply both sides by $36$ (the $LCM$ of $9$ and $4$):
$4(4x+1) > 9(9x+1) - 72$
$16x + 4 > 81x + 9 - 72$
$16x + 4 > 81x - 63$
$4 + 63 > 81x - 16x$
$67 > 65x$
$x < \frac{67}{65}$
Thus,the solution set is $\left(-\infty, \frac{67}{65}\right)$.
The number line representation shows all values to the left of $\frac{67}{65}$ with an open circle at $\frac{67}{65}$.