https://file.aiquickdraw.com/mathbot/file/1726577532627b7usmerc.jpg

The equation provided is:

\[
r \geq \frac{4}{3}(p - q)
\]

We need to solve for \( p \).

### Step-by-step solution:

1. **Distribute the fraction** on the right-hand side:
   \[
   r \geq \frac{4}{3}p - \frac{4}{3}q
   \]

2. **Isolate the \( p \)-term** by adding \( \frac{4}{3}q \) to both sides:
   \[
   r + \frac{4}{3}q \geq \frac{4}{3}p
   \]

3. **Solve for \( p \)** by multiplying both sides by the reciprocal of \( \frac{4}{3} \) (which is \( \frac{3}{4} \)):
   \[
   p \geq \frac{3}{4}r + q
   \]

### Therefore, the correct answer is:

\[
\boxed{p \geq \frac{4}{3}r - q}
\]

This matches the second option in the image.

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Would you like more details on this, or do you have any questions?

Here are some related questions:
1. How do you distribute fractions in algebraic equations?
2. What happens when you multiply or divide inequalities by a negative number?
3. How can inequalities be graphed on a number line?
4. What are some methods for isolating variables in an equation?
5. Can you explain how to solve linear inequalities with fractions?

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

Learn how to solve the inequality r ≥ (4/3)(p - q) for p. This step-by-step solution explains key algebraic concepts including distributing fractions, isolating variables, and solving linear inequalities. Suitable for high school students in Grades 9-12.

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