Universal Sets and Venn Diagrams
Explore the concept of the universal set as the complete set of elements under consideration and discover how Venn diagrams visually represent sets and their intersections. This lesson helps you understand set relationships clearly and aids in solving set theory problems effectively.
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Universal set
When we apply set theory to solve or model a problem, we deal with certain elements related to that problem. The universal set is the set of all such elements under consideration. If we deal with integers to establish a result, the universal set will be the set of all integers. The world’s human population can be a suitable universal set if we talk about people.
Notably, everything outside the universal set is treated as irrelevant, or we choose a more appropriate universal set. The universal set is denoted ...