https://file.aiquickdraw.com/mathbot/file/17268639602187mui4oga.jpg

The image shows an inequality involving fractions. It appears to be the following inequality:

\[
\frac{m - 1}{3} > \frac{10}{3}
\]

To solve for \( m \), follow these steps:

### Step 1: Eliminate the denominator
Multiply both sides of the inequality by 3 to get rid of the fractions:

\[
m - 1 > 10
\]

### Step 2: Isolate \( m \)
Add 1 to both sides of the inequality:

\[
m > 11
\]

### Solution:
The solution to the inequality is \( m > 11 \).

Would you like more details or have any questions about this process? Here are 5 related questions for practice:

1. How would the inequality change if the sign was \( \geq \) instead of \( > \)?
2. What happens if both sides of the inequality are negative?
3. How would you solve \( \frac{2m + 3}{4} \geq \frac{5m - 1}{2} \)?
4. Can you explain why multiplying or dividing by a negative number reverses the inequality sign?
5. How would you graph the solution \( m > 11 \) on a number line?

### Tip:
Always remember to check your solution by substituting a value for \( m \) back into the original inequality to verify it works.

Learn how to solve the inequality \( \frac{m - 1}{3} > \frac{10}{3} \) by following a step-by-step process. This algebra problem involves properties of inequalities and solving linear equations. Suitable for students in Grades 7-9.

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