https://r2.erweima.ai/mathbot/image/172623981022503rnav7n.jpg

Let's break down the two main parts of the image.

### First Part (Equation and Set Problem):
The first part is asking for the value of \( x + y \) when two sets are provided:
\[
\{2, 1 - x, \sqrt{7}, 3\} \quad \text{and} \quad \left\{ 1, 5, \frac{\sqrt{7}}{2}, \frac{y+2}{x} \right\}
\]
To solve this, we need to match elements between the two sets, particularly focusing on common elements.

### Second Part (Set Operations on Venn Diagram):
The second part provides a Venn diagram involving three sets \( A \), \( B \), and \( C \). You are asked to find the following set operations:

1. \( A - (B - C) \)
2. \( (B \cap A) - C \)

#### Explanation:
- \( A - (B - C) \): This means the elements that are in \( A \) but not in \( (B - C) \).
- \( (B \cap A) - C \): This means the elements that are in both \( A \) and \( B \) but not in \( C \).

#### The Regions:
The diagram contains numbered regions, which help identify the results of these operations.

Do you want me to fully work out the solution for the first or second part? Let me know!

If two sets are equal: {2, 1 - x, √7, 3} and {1, 5, √7/2, (y+2)/x}, what is the value of x + y?

Learn how to solve for x + y by matching elements in two algebraic sets. The problem involves set theory and equation solving, suitable for high school students in Grades 9-12.

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