https://file.aiquickdraw.com/mathbot/file/17266594068549qbar3dp.jpg

It seems you've uploaded an image with set theory and logic problems related to Venn diagrams. You specifically mentioned the task of proving the identity involving sets, starting with "A". I can see the following expression in the image:

**\( A \cap \overline{B} \cup B = \overline{A} \cup B \)**

This looks like a set theory identity that needs to be proven. Let's break it down:

### Identity:
\[
A \cap \overline{B} \cup B = \overline{A} \cup B
\]

### Proof:

1. **Left-hand side (LHS):**
   \[
   A \cap

Довести тотожність (A \cap \overline{B} \cup B = \overline{A} \cup B)

Learn how to prove the set identity A ∩ B' ∪ B = A' ∪ B using key set theory concepts and Venn diagrams. This detailed breakdown includes set intersection and union properties, along with De Morgan's laws. Suitable for high school students.

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