To solve the inequality $-30 \geq 6x - 6$, follow these steps:

1. Add 6 to both sides: $-30 + 6 \geq 6x$ $-24 \geq 6x$

2. Divide both sides by 6: $\frac{-24}{6} \geq x$ $-4 \geq x$

3. Rewrite the inequality: $x \leq -4$

So, the solution to the inequality is $x \leq -4$.

Do you want more details or have any questions?

Here are five related questions you might find interesting:

1. What is the graph of the inequality $x \leq -4$?
2. How do you check the solution by substituting values?
3. What are other methods to solve linear inequalities?
4. How would you solve an inequality with a variable in the denominator?
5. Can you provide examples of real-life situations modeled by linear inequalities?

Tip: Always remember to flip the inequality sign when multiplying or dividing by a negative number.