https://file.aiquickdraw.com/mathbot/file/1726155403752yw77yd80.jpg

Let's go through the questions visible in the image:

### Section 1:
This section seems to be about inequalities. The inequalities appear to be in the following format:
1. \( -3,1 \)
2. \( -6,7 \)
3. \( 4, -5, -2 \)

These might involve ordering or solving. However, the exact nature is unclear without more information.

### Section 2:
Basic arithmetic and operations with negative numbers:
1. \( 6 + (-4) = ? \)
   - Solution: \( 6 + (-4) = 2 \)
2. \( (-1) + (-9) = ? \)
   - Solution: \( (-1) + (-9) = -10 \)
3. \( \left( -\frac{7}{8} \right) - (-8) = ? \)
   - Solution: \( -\frac{7}{8} + 8 = \frac{57}{8} \)
4. \( \frac{-2}{8} = ? \)
   - Solution: \( \frac{-2}{8} = -\frac{1}{4} \)

### Section 3: Calculations
1. \( 9 - 2 \times (-3) = ? \)
   - Solution: \( 9 - 2 \times (-3) = 9 + 6 = 15 \)
2. \( -2 \times (-5 - 9) = ? \)
   - Solution: \( -2 \times (-14) = 28 \)
3. \( 30 : (-3)^2 = ? \)
   - Solution: \( 30 : 9 = \frac{30}{9} = \frac{10}{3} \)
4. \( 8 \times \left( -1 + \frac{7}{6} \right) = ? \)
   - Solution: \( 8 \times \frac{1}{6} = \frac{8}{6} = \frac{4}{3} \)

Would you like more detailed explanations on any part of the problems, or additional steps for better understanding?

### Relative Questions:
1. How do you simplify expressions involving negative numbers and fractions?
2. What is the general approach to solving inequalities?
3. How does multiplying and dividing by negative numbers affect inequality signs?
4. What is the order of operations when dealing with nested parentheses and powers?
5. Can you explain how to handle subtraction of negative numbers?

**Tip**: Always solve operations inside parentheses first and keep an eye on the signs, especially with negative numbers.

The original question submitted by the user involves arithmetic operations, inequalities, and solving basic algebraic equations.

This page provides step-by-step solutions to arithmetic operations, inequalities, and basic algebraic problems involving negative numbers and fractions. Learn key concepts such as order of operations, multiplication and division rules, and simplifying fractions. Suitable for Grades 7-9.

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