Subjects set theory

Venn Relationship

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Venn Relationship


1. The problem asks to describe the relationship between sets $W$ and $Z$ using a Venn diagram. 2. A Venn diagram visually represents sets and their relationships using overlapping circles. 3. Key relationships include: - If $W$ and $Z$ do not overlap, they are disjoint sets (no common elements). - If one circle is completely inside the other, one set is a subset of the other. - If circles partially overlap, the intersection represents elements common to both sets. 4. Without specific information about $W$ and $Z$, the general relationships are: - $W \cap Z$ is the intersection (common elements). - $W \cup Z$ is the union (all elements in either set). - $W - Z$ is elements in $W$ not in $Z$. - $Z - W$ is elements in $Z$ not in $W$. 5. To describe their relationship, identify if $W$ and $Z$ are disjoint, overlapping, or one is subset of the other, then draw circles accordingly. Final answer: The Venn diagram shows two circles labeled $W$ and $Z$ with their overlap representing $W \cap Z$, illustrating their relationship visually.