It looks like the image shows a Venn diagram representing sets $A$, $B$, and the universal set $U$. The notation $A \subseteq B$ means that set $A$ is a subset of $B$, which implies that all elements of $A$ are also in $B$.

Understanding the Diagram

• The universal set $U$ contains all elements under consideration.
• $B$ is a subset of $U$, meaning all elements of $B$ are in $U$.
• $A$ is a subset of $B$, meaning all elements of $A$ are inside $B$.

Conditions Using Set Operations

Based on this, let's express the relationship using set operations:

1. Subset condition:
   $A \subseteq B \Rightarrow A \cup B = B$ (Since $A$ is inside $B$, taking their union gives $B$ itself.)

2. Intersection condition:
   $A \cap B = A$ (Since $A$ is already inside $B$, their intersection is just $A$.)

3. Difference condition:
   $B - A = B \setminus A$ (This represents the part of $B$ that is not in $A$.)

4. Complement conditions:
   $A^c = U - A, \quad B^c = U - B$ (These represent the complements of $A$ and $B$, meaning everything outside of them in $U$.)

5. Implication for other operations:
   If we take the symmetric difference $A \triangle B$ (elements in $A$ or $B$, but not both), we get: $A \triangle B = B - A$ (Since $A$ is inside $B$, the symmetric difference is just $B$ without $A$.)

Next Steps

• If you need a visual explanation, drawing more Venn diagrams for these operations can help.
• If the task is to express more conditions, try considering complements and symmetric differences.
• If needed, I can solve a specific question from this setup.

Would you like me to clarify or expand on any part? Let me know! 😊