https://r2.erweima.ai/mathbot/image/17270705779068xro0dxa.jpg

I see you've uploaded a math problem. I'll review it and extract the relevant content.

The image consists of three main parts:

### Part 1:
It seems to ask for identifying relations between two given sets of ordered pairs. The options appear to compare whether \(Y \in \{(-7,0)\}, e \in \{(-7,-2)\},\) etc. This likely requires understanding set membership and Cartesian product relationships.

### Part 2:
This part asks for identifying which number among the options is both a rational number and satisfies the given property.

### Part 3:
This seems to be about illustrating sets \(A = (-7,1)\) and \(B = (-1,2)\) on a number line, and then finding intersections, unions, and differences between the sets. Specifically, it asks you to visualize the following:
1. \(A \cap B\) (Intersection of sets \(A\) and \(B\))
2. \(A \cup B\) (Union of sets \(A\) and \(B\))
3. \(A - B\) (Difference \(A\) minus \(B\))
4. \(B - A\) (Difference \(B\) minus \(A\))

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Would you like help solving a specific part of this, or should I go through each of the three parts in detail? 

### 5 Related Questions:
1. What are the rules for determining set membership?
2. How can you prove that a number is rational or irrational?
3. How do you compute the union and intersection of two sets?
4. What does the Cartesian product of two sets represent in a coordinate system?
5. What is the graphical representation of set operations on a number line?

### Tip:
When comparing two sets on a number line, always check their boundaries and whether intervals are open or closed, as this affects the intersection and union.

Solve the following math problems involving set theory and rational numbers.

Learn how to solve set theory problems involving intersections, unions, and differences of sets. This problem also includes determining rational numbers and visualizing sets on a number line. Suitable for students in Grades 9-12.

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