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The image you've uploaded contains a set of quadratic inequalities and rational inequalities written in Russian. Here's a breakdown of the types of problems:

1. **Quadratic Inequalities**:
   - Problems where you need to solve inequalities involving quadratic expressions. 
   - Example: \( x^2 - x - 12 > 0 \) or \( x^2 - 6x + 9 < 0 \).

2. **Rational Inequalities**:
   - Problems where you need to solve inequalities involving rational expressions.
   - Example: \( \frac{x + 2}{x - 4} - \frac{x - 4}{x + 2} > 0 \).

Would you like to start with a specific problem? Let me know which one you'd like to solve, or I can walk you through an example step-by-step!

Here are five related questions that expand on quadratic and rational inequalities:
1. How do you solve a quadratic inequality like \( x^2 - x - 12 > 0 \)?
2. What methods can be used to solve rational inequalities?
3. How can you graph the solution set of a quadratic inequality on a number line?
4. How do you identify the critical points for inequalities involving polynomials?
5. What is the role of factoring in solving quadratic inequalities?

**Tip:** Always factor quadratic expressions first to find the critical points before solving inequalities.

Solve quadratic and rational inequalities, e.g. x^2 - x - 12 > 0, (x+2)/(x-4) - (x-4)/(x+2) > 0.

This guide covers solving quadratic and rational inequalities, including factoring, finding critical points, and using sign charts. Example problems such as x^2 - x - 12 > 0 and (x+2)/(x-4) > 0 are explained step by step. Suitable for high school students.

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