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.

Discover how to solve the linear inequality -30 ≥ 6x - 6 with a step-by-step solution. This problem introduces key algebraic concepts in solving inequalities, including isolating the variable and understanding inequality properties. Ideal for students in Grades 7-9.

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