Subjects set theory

Set Venn F993Df

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1. **Problem:** Draw the example sets $A$ and $B$. 2. **Example sets:** Let $A=\{1,2,3\}$ and $B=\{3,4,5\}$. 3. **Formula / rule used:** In a Venn diagram, elements that belong to both sets go in the overlap, and elements that belong to only one set stay in that set’s own region. 4. **Important rule:** The number $3$ is in both $A$ and $B$, so it must go in the shared middle part. 5. **Draw the sets:** $$ A\cap B=\{3\},\quad A\setminus B=\{1,2\},\quad B\setminus A=\{4,5\} $$ 6. **Final answer:** Here is the Venn diagram. AB12345
AB12345