https://file.aiquickdraw.com/mathbot/file/1726345202947mck384gd.jpg

The inequality given in the image is:

\[
\frac{x}{2} + 3 > 7
\]

### Step-by-step solution:

1. **Subtract 3 from both sides** to isolate the term with \(x\):
   \[
   \frac{x}{2} > 7 - 3
   \]
   \[
   \frac{x}{2} > 4
   \]

2. **Multiply both sides by 2** to solve for \(x\):
   \[
   x > 4 \times 2
   \]
   \[
   x > 8
   \]

### Final Answer:
\[
x > 8
\]

Let me know if you'd like more details, or if you have any questions. Here are 5 related questions:

1. How would the inequality change if the equation were \( \frac{x}{2} + 3 \geq 7 \)?
2. Can you represent this inequality on a number line?
3. How would you solve \( \frac{x}{3} + 2 > 10 \)?
4. What if the inequality was \( \frac{x}{2} - 3 > 7 \)? How would the solution change?
5. How would the solution change if the inequality was \( \frac{-x}{2} + 3 > 7 \)?

**Tip:** Always remember that multiplying or dividing an inequality by a negative number reverses the inequality sign!

This page explains how to solve the inequality x/2 + 3 > 7. Learn step-by-step how to isolate x and determine the solution x > 8. Suitable for Grades 6-8, covering fundamental algebraic concepts and inequalities.

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