# How do you solve |5v + 3| > - 9?

There's nothing much to do here. This inequality is true for all values of $v$ since $- 9$ is negative and absolute values are always greater than or equal to 0.
If, on the other hand, you were solving a problem like $| 5 v + 3 | > 9$, you'd want to first say this is equivalent to the two inequalities $5 v + 3 > 9$ or $5 v + 3 < - 9$. Subtracting 3 from both sides of these and then dividing both sides by the positive number 5 results in $v > \frac{6}{5}$ or $v < - \frac{12}{5}$.
In other words, the solution set of the inequality $| 5 v + 3 | > 9$ is the union $\left(- \infty , - \frac{12}{5}\right) \cup \left(\frac{6}{5} , \infty\right)$