The inequality you provided is:

\[
2x > -12
\]

**Step 1: Solve the inequality.**
1. To isolate \( x \), divide both sides of the inequality by 2:
   \[
   x > \frac{-12}{2}
   \]
   \[
   x > -6
   \]

**Final Answer:**
The solution is \( x > -6 \).

This means that \( x \) must be greater than \(-6\).

Would you like more details or have any questions about this solution?

### Related Questions:
1. How would the solution change if the inequality was \( 2x \geq -12 \)?
2. How do you graph \( x > -6 \) on a number line?
3. What happens if you multiply or divide both sides of an inequality by a negative number?
4. How would you solve the inequality if it was \( 2x + 3 > -12 \)?
5. Can you think of a scenario where this inequality might apply in real life?

### Tip:
When solving inequalities, remember that if you multiply or divide both sides by a negative number, you must reverse the inequality sign.

Learn how to solve the inequality 2x > -12 with a detailed step-by-step solution. This problem covers key concepts in inequalities. Suitable for students in Grades 7-9.

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