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Let's solve the inequality \( 2x \geq -12 \).

### Step-by-Step Solution:

1. **Divide both sides by 2**:
   \[
   \frac{2x}{2} \geq \frac{-12}{2}
   \]
   Simplifying this:
   \[
   x \geq -6
   \]

### Solution:
The solution is \( x \geq -6 \).

### Graph of the Solution:
- This represents all values of \( x \) that are greater than or equal to \(-6\).
- On a number line, we place a closed circle at \(-6\) (since it's included) and shade the line to the right, indicating that all numbers greater than or equal to \(-6\) are part of the solution.

Would you like help with the graph or any other details?

Here are some related questions you can explore:

1. How would the solution change if the inequality was \( 2x > -12 \)?
2. What happens if you multiply or divide both sides of an inequality by a negative number?
3. How do you represent strict inequalities (e.g., \( x > -6 \)) on a number line?
4. What is the difference between solving equations and inequalities?
5. How can this inequality be solved using interval notation?

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

Solve the inequality. Graph the solution. 2x ≥ -12

Learn how to solve the inequality 2x ≥ -12 with a step-by-step solution. This problem focuses on understanding linear inequalities, including how to solve and graph them. Perfect for students in Grades 6-8.

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