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I see that you've uploaded an image related to solving inequalities. The image contains a worksheet with inequality problems and explanations about how to solve absolute value inequalities. Here's a breakdown of the contents:

1. **Left Panel**: It shows the steps for solving an inequality of the form \( 3x - 12 \geq 6 \) and illustrates how to split and solve inequalities. It includes number line representations for the solution range.
   
2. **Middle Panel**: This contains a list of inequalities to solve, categorized into different types such as:
   - Linear inequalities like \( 2x - 4 < 1 - 3x \)
   - Quadratic inequalities such as \( x^2 \leq 36 \)
   - Absolute value inequalities like \( |x| < 5 \)
   - Compound inequalities like \( 2 < x - 1 < 6 \)
   - Rational inequalities like \( \frac{1}{x+1} < 0 \)
   
3. **Right Panel**: This discusses solving absolute value inequalities of the form \( |ax + b| \geq c \). It explains the process of splitting the inequality into two cases and solving each case separately.

Would you like help solving any specific inequality from the worksheet or more details on how to solve absolute value inequalities?

Here are 5 related questions for further practice:
1. How do you solve the inequality \( 2x - 4 < 1 - 3x \) from 1.1?
2. Can you explain how to solve the quadratic inequality \( x^2 - 3x - 10 > 0 \) in 2.2?
3. What is the solution to the absolute value inequality \( |x| \leq 5 \) in 4.1?
4. How do you approach compound inequalities like \( 2 < x - 1 < 6 \) in 5.1?
5. What method is used to solve rational inequalities like \( \frac{x + 3}{2x + 1} \leq 0 \) in 3.2?

**Tip**: When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number!

Solve various types of inequalities from a worksheet that includes linear, quadratic, absolute value, compound, and rational inequalities.

This guide covers solving various inequalities, including linear, quadratic, and absolute value inequalities, with step-by-step explanations. Learn how to approach each type of inequality and apply key formulas and theorems. Suitable for students in Grades 8-11.

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