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

Draw a Venn diagram that illustrates the relationships among the given sets.
$$
\begin{aligned}
&S=\{\text { eBay, Googletm, Amazon, OHaganBooks, Hotmail }\}, \\
&A=\{\text { Amazon, OHaganBooks }\}, \quad B=\{\text { eBay, Amazon }\} \\
&C=\{\text { Amazon, Hotmail }\}
\end{aligned}
$$

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Key Concepts

Venn Diagram

A Venn diagram is a graphical tool used to visually depict the relationships among different sets. It uses overlapping shapes, typically circles, to show how the sets intersect, union, and differ from each other, thereby providing a clear illustration of the logical relationships and common elements among the sets.

Set Theory

Set theory is a fundamental branch of mathematics that deals with the study of collections of objects, known as sets. It provides the basic language and structure for various mathematical concepts and operations, such as unions, intersections, and complements, which are essential for understanding and solving problems involving sets.

Set Operations

Set operations are the methods used to combine or relate sets. Key operations include the intersection, which finds common elements between sets, the union, which merges all elements from the involved sets, and the concept of subsets, where one set is entirely contained within another. These operations help in analyzing the structure and relationships among different sets.

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