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The solution to the inequality \( 3(-3x + 1) \geq -6 \) is:

\[
x \leq 1
\]

This means the inequality is satisfied for all values of \( x \) less than or equal to 1.

Do you have any further questions or need additional details? Here are five related questions you might find helpful:

1. How would the solution change if the inequality was \( < \) instead of \( \geq \)?
2. What happens to the solution if we change the sign on both sides of the inequality?
3. How do we solve compound inequalities involving two different inequalities?
4. What is the graphical representation of the solution \( x \leq 1 \)?
5. How would you approach solving an inequality that involves quadratic terms?

**Tip:** When solving inequalities, always pay attention to whether the inequality includes "equal to" (i.e., \( \geq \) or \( \leq \)) and remember to reverse the inequality sign when multiplying or dividing by a negative number.

Learn how to solve the inequality 3(-3x + 1) ≥ -6 with a detailed step-by-step solution. This problem covers algebraic concepts like distributing terms and solving inequalities. Suitable for students in Grades 7-9.

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