https://file.aiquickdraw.com/mathbot/file/1727410778012s19ouma2.jpg

It seems that the OCR did not successfully interpret the content of the image correctly. However, based on the visual of the uploaded image, the inequality appears to be:

\[
\frac{1}{4}x > \frac{1}{2}
\]

### To solve for \(x\):

1. Start with the inequality:
   \[
   \frac{1}{4}x > \frac{1}{2}
   \]

2. Multiply both sides of the inequality by 4 to eliminate the fraction on the left-hand side:
   \[
   x > 4 \times \frac{1}{2}
   \]

3. Simplify the right-hand side:
   \[
   x > 2
   \]

Thus, the solution is:
\[
x > 2
\]

Would you like a more detailed explanation or have any other questions?

Here are five related questions to practice:

1. What happens if we divide both sides of an inequality by a negative number?
2. How would you solve the inequality \( \frac{3}{5}x < \frac{9}{10} \)?
3. Can you explain the difference between solving an inequality and solving an equation?
4. How would the inequality change if it was \( \frac{1}{4}x \geq \frac{1}{2} \)?
5. What does it mean graphically to solve an inequality?

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

Solve the inequality \( \frac{1}{4}x > \frac{1}{2} \)

Learn how to solve the inequality \( \frac{1}{4}x > \frac{1}{2} \) step by step. This tutorial covers algebraic concepts like inequalities and how to handle fractions when solving them. Suitable for middle school students in Grades 6-8.

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