The inequality in the image reads:

$9x + 6 \geq 0$

To solve this inequality:

1. First, subtract 6 from both sides:

$9x \geq -6$

2. Then, divide both sides by 9 to isolate $x$:

$x \geq -\frac{2}{3}$

So, the solution is:

$x \geq -\frac{2}{3}$

Would you like a detailed explanation on solving inequalities or further questions?

Here are 5 related questions:

1. How would you solve $9x + 6 \leq 0$?
2. What happens if the inequality was $9x + 6 < 0$?
3. How would you solve $9x + 6 > 12$?
4. What are the steps to solve a quadratic inequality?
5. What changes when solving inequalities with negative coefficients?

Tip: When dividing an inequality by a negative number, remember to flip the inequality sign!