https://file.aiquickdraw.com/mathbot/file/17255937566616spz9ye8.jpg

The inequality in the image reads:

\[
4 \leq \frac{2v}{9}
\]

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

### Step 1: Eliminate the denominator
Multiply both sides of the inequality by 9 to remove the denominator:

\[
4 \times 9 \leq \frac{2v}{9} \times 9
\]

\[
36 \leq 2v
\]

### Step 2: Isolate \( v \)
Now, divide both sides by 2 to solve for \( v \):

\[
\frac{36}{2} \leq v
\]

\[
18 \leq v
\]

or equivalently:

\[
v \geq 18
\]

### Final Answer:
The solution to the inequality is:

\[
v \geq 18
\]

Let me know if you'd like more details on this solution! Here are some related questions:

1. How do you solve inequalities that involve negative numbers?
2. What happens if you multiply or divide by a negative number in an inequality?
3. Can inequalities have multiple solutions or intervals?
4. What is the difference between strict inequalities and non-strict inequalities?
5. How would this change if the inequality was flipped (i.e., \( \frac{2v}{9} \leq 4 \))?

**Tip:** When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality symbol.

Learn how to solve the inequality 4 ≤ 2v/9 with a detailed step-by-step solution. This problem covers key algebraic concepts such as linear inequalities, division rules, and isolating variables. Suitable for students in Grades 7-9.

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