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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:

   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.

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.