https://file.aiquickdraw.com/mathbot/file/17255942779114smxh15m.jpg

The inequality provided is:

\[
-7 > 9 + 4v
\]

Let's solve it step by step.

### Step 1: Subtract 9 from both sides.
\[
-7 - 9 > 4v
\]
\[
-16 > 4v
\]

### Step 2: Divide both sides by 4 to isolate \(v\).
\[
\frac{-16}{4} > v
\]
\[
-4 > v
\]

This can be rewritten as:
\[
v < -4
\]

Thus, the solution is \(v < -4\).

Would you like more details or have any questions? Here are five related questions to explore:

1. How can you check the solution for inequalities like this?
2. What happens if you divide by a negative number in inequalities?
3. How does solving an inequality differ from solving an equation?
4. Can you graph the solution of this inequality on a number line?
5. What are some real-life examples where inequalities are used?

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

Learn how to solve the inequality -7 > 9 + 4v step by step. This problem involves algebraic manipulation of inequalities, suitable for Grades 6-8. Follow the solution to understand subtraction, division, and the basic properties of inequalities.

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