Subjects set theory

Union Sets 656Bf5

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1. The problem is to draw a diagram for the union of sets. 2. For two sets $A$ and $B$, the union is written as $A \cup B$. 3. The rule for union is: $$A \cup B = \{x \mid x \in A \text{ or } x \in B\}$$ 4. This means we include everything in $A$, everything in $B$, and also the overlap where they both share elements. 5. A simple Venn diagram for $A \cup B$ shades both circles, including the intersection. 6. Since this is a geometry-style diagram request, the diagram is shown in SVG below. 7. Final answer: the union is all elements in either set, so the shaded region should cover both sets.
ABA ∪ BShaded region = union