Draw a Venn diagram that illustrates the relationships among...

Draw a Venn diagram that illustrates the relationships among the given sets.
$S=\left\{\right.$ eBay, Google $^{\mathrm{TM}}$ Amazon, OHaganBooks, Hotmail\}, $A=\{$ Amazon, Hotmail $\}, B=\left\{\right.$ eBay, Google $^{\mathrm{TM}}$ Amazon, Hotmail $\}, C=\{$ Amazon, Hotmail $\}$

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Key Concepts

Venn Diagram

A Venn diagram is a visual representation tool that uses overlapping shapes, typically circles, to illustrate the logical relationships among sets. It clearly displays intersections, unions, and differences between sets, making it easier to comprehend their interconnections.

Intersection

The intersection of sets is the collection of elements that are common to all the sets being compared. This concept is crucial for identifying overlap and shared characteristics among different groups.

Set

A set is a collection of distinct objects or elements, which can be anything from numbers to more abstract items. Sets are a fundamental concept in mathematics, allowing the grouping of items for analysis of their relationships.

Subset

A subset is a set where every element is also contained within another set. This relationship helps in understanding hierarchy and inclusion among different collections of items, indicating that one set is entirely contained within another.

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