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The first image asks you to solve the inequality \( 39 > 3 - 6x \) using the addition and multiplication principles. Let's solve this step by step.

### Step-by-step solution:

1. **Isolate the term with \( x \):**
   \[
   39 > 3 - 6x
   \]
   Subtract 3 from both sides:
   \[
   39 - 3 > -6x
   \]
   Simplifies to:
   \[
   36 > -6x
   \]

2. **Solve for \( x \):**
   Divide both sides by -6, and remember to reverse the inequality when dividing by a negative number:
   \[
   \frac{36}{-6} < x
   \]
   Simplifies to:
   \[
   -6 < x
   \]

Thus, the solution is \( x > -6 \).

### Answer:

The correct choice is **A.** The solution set is \( x > -6 \).

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Would you like further details or explanations? Here are five questions that relate to this:

1. What happens to an inequality when dividing by a negative number?
2. How do you isolate variables when solving inequalities?
3. Can you graph the solution \( x > -6 \) on a number line?
4. How do inequalities differ from equations in their solution process?
5. What are some real-world examples where inequalities are used?

**Tip:** Always remember to reverse the inequality sign when you multiply or divide both sides of an inequality by a negative number!

Solve the inequality 39 > 3 - 6x using the addition and multiplication principles.

Learn how to solve the inequality 39 > 3 - 6x with a detailed step-by-step solution. This problem covers essential algebra concepts, including solving inequalities by isolating the variable and reversing inequality signs when multiplying or dividing by a negative number. Suitable for students in Grades 7-9.

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