https://file.aiquickdraw.com/mathbot/file/17255539299200007prt3.jpg

The inequality presented in the image is:

\[
v - \frac{3}{5} > -\frac{1}{6}
\]

To solve this inequality for \( v \), we can follow these steps:

### Step 1: Add \( \frac{3}{5} \) to both sides
We need to isolate \( v \) by adding \( \frac{3}{5} \) to both sides:

\[
v - \frac{3}{5} + \frac{3}{5} > -\frac{1}{6} + \frac{3}{5}
\]

This simplifies to:

\[
v > -\frac{1}{6} + \frac{3}{5}
\]

### Step 2: Find a common denominator
The least common denominator (LCD) of 6 and 5 is 30, so we rewrite the fractions:

\[
-\frac{1}{6} = -\frac{5}{30}, \quad \frac{3}{5} = \frac{18}{30}
\]

Now we can add them together:

\[
v > -\frac{5}{30} + \frac{18}{30} = \frac{13}{30}
\]

### Final Answer:
\[
v > \frac{13}{30}
\]

The solution to the inequality is \( v > \frac{13}{30} \).

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

### Related Questions:
1. How do you solve inequalities involving fractions with different denominators?
2. What happens if we flip the inequality symbol during the solution process?
3. How can you check if your inequality solution is correct?
4. What is the process of finding a common denominator for fractions?
5. What is the difference between solving an equation and solving an inequality?

### Tip:
When solving inequalities, remember that multiplying or dividing both sides by a negative number will reverse the inequality sign.

Solve the inequality for v: v - 3/5 > -1/6.

Learn how to solve the inequality v - 3/5 > -1/6 by isolating the variable and finding the common denominator. This problem involves key algebraic concepts and is suitable for students in Grades 8-10.

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