Question

Draw a Venn diagram that illustrates the relationships among the given sets. $S=\{$ Apple, Dell, Gateway, Pomegranate, Compaq $\}, A=$ $\{$ Apple, Dell, Pomegranate, Compaq $\}, B=\{$ Pomegranate $\}$, $C=\{$ Pomegranate $\}$

Name: Problem 20, Chapter 6: Finite Mathematics and Applied Calculus
Uploaded: 2021-09-26T17:40:19-08:00
Duration: 1 min 2 s
Channel: Laurie Huffman
Description: Draw a Venn diagram that illustrates the relationships among the given sets. S={ Apple, Dell, Gateway, Pomegranate, Compaq }, A= { Apple, Dell, Pomegranate, Compaq }, B={ Pomegranate }, C={ Pomegranate }

   Draw a Venn diagram that illustrates the relationships among the given sets.  
$S=\{$ Apple, Dell, Gateway, Pomegranate, Compaq $\}, A=$ $\{$ Apple, Dell, Pomegranate, Compaq $\}, B=\{$ Pomegranate $\}$, $C=\{$ Pomegranate $\}$

Finite Mathematics and Applied Calculus

Stefan Waner, Steven… 5th Edition

Chapter 6, Problem 20

Instant Answer

Solved by Expert Laurie Huffman

09/26/2021

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This set includes all the companies: Apple, Dell, Gateway, Pomegranate, and Compaq. Show more…

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Draw a Venn diagram that illustrates the relationships among the given sets. $S=\{$ Apple, Dell, Gateway, Pomegranate, Compaq $\}, A=$ $\{$ Apple, Dell, Pomegranate, Compaq $\}, B=\{$ Pomegranate $\}$, $C=\{$ Pomegranate $\}$

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Key Concepts

Set

A set is a well-defined collection of distinct objects or elements. In mathematics, sets are used to group items together and can be finite or infinite. They are typically denoted by listing their elements within curly brackets.

Subset

A subset is a set in which every element is also a member of another set, called the parent set. This concept helps in understanding how smaller collections relate to larger ones, establishing inclusion relationships between them.

Intersection

The intersection of sets refers to the set of elements that are common to all sets involved. This operation is crucial when exploring relationships between different sets, as it highlights the shared components.

Venn Diagram

A Venn diagram is a visual tool used in set theory to represent sets and their relationships. Sets are depicted as overlapping circles, and the overlapping regions illustrate intersections, making it easier to visually analyze complex set relationships.

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