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You have uploaded a math problem set image. I'll help you solve the questions.

Here's a breakdown of some of the problems shown:

1. **Problem 5 (Simplification of square roots):**
   Simplify:  
   \[
   \sqrt{75} - 3\sqrt{48} + 2\sqrt{300}
   \]

2. **Problem 6 (Solve the inequality):**  
   Solve the inequality:
   \[
   \frac{2x-1}{4} + 16 \leq \frac{x-1}{3}
   \]

3. **Problem 7 (Solve for \( x \) with parameters):**  
   Solve the equation for \( x \) based on the value of \( m \):  
   \[
   (m-1)x + 2mx - 3(m - x) + 1 = 0
   \]

4. **Problem 8 (Solve the system of equations):**  
   Solve the system of equations:
   \[
   \begin{cases}
   x - 2y = -7 \\
   5x + 3y = 9
   \end{cases}
   \]

5. **Number Sequences A and B:**  
   You are asked to show:
   \[
   A = \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times \frac{7}{8} \times \ldots \times \frac{21}{22} \times \frac{23}{24}, \quad B = \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} \times \ldots \times \frac{22}{25} \times \frac{24}{25}
   \]
   And demonstrate:
   \[
   AB = \frac{1}{25}
   \]
   And show that:
   \[
   A < \frac{1}{5} < B
   \]

Would you like me to solve all the problems, or should we focus on a specific one first? Let me know if you'd like further details on any of the steps. 

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### 5 Related Questions:
1. How can we simplify complex square roots?
2. What are the steps to solve a system of linear equations?
3. How do inequalities with fractions differ from regular inequalities in solving them?
4. What methods can we use to approach infinite product sequences?
5. Can a system of equations have more than one solution?

### Tip:
When solving systems of linear equations, it's useful to use substitution or elimination methods to reduce the complexity.

Resolve multiple math problems involving simplification, inequalities, systems of equations, and infinite product sequences as shown in the uploaded document.

Explore complex high school math problems involving square roots, inequalities, linear systems, and infinite product sequences. This guide provides detailed solutions and explanations suitable for students in Grades 9-12.

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