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Construct a Venn diagram illustrating the sets below. U= {1, 2, 3, 4, 5, 6, 7, 8) W={1, 4, 6} X=(2, 4, 5, 8} 1 3 U W X

Construct a Venn diagram illustrating the sets below. U= {1, 2, 3, 4, 5, 6, 7, 8) W={1, 4, 6} X=(2, 4, 5, 8} 1 3 U W X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Construct a Venn Diagram This example illustrates how to construct a Venn diagram to visually represent the relationships between sets. The sets are defined as follows: - \( U = \{1, 2, 3, 4, 5, 6, 7, 8\} \) - \( W = \{1, 4, 6\} \) - \( X = \{2, 4, 5, 8\} \) #### Explanation of the Diagram The Venn diagram consists of a rectangular area representing the universal set \( U \). Inside this rectangle, there are two overlapping circles. - The left circle, labeled \( W \), is drawn in red and represents the set \( W = \{1, 4, 6\} \). - The right circle, labeled \( X \), is drawn in blue and represents the set \( X = \{2, 4, 5, 8\} \). The overlapping region of the circles represents the intersection of sets \( W \) and \( X \), which in this case contains the element \{4\}. The numbers on the left (1, 2, 3, 4, 5, 6, 7, 8) can be dragged into the Venn diagram to place them within the relevant circles: - Numbers exclusive to \( W \) go only in the left circle. - Numbers exclusive to \( X \) go only in the right circle. - Numbers common to both sets \( W \) and \( X \) go in the overlapping section. - Numbers not in either set can be placed outside the circles but within the rectangle of \( U \). #### Additional Visualization Below the diagram, there are smaller graphical representations showing different configurations for Venn diagrams depending on the overlap and inclusion of sets. This provides a visual guide to understanding how sets relate to one another within Venn diagrams.
Transcribed Image Text:### Construct a Venn Diagram This example illustrates how to construct a Venn diagram to visually represent the relationships between sets. The sets are defined as follows: - \( U = \{1, 2, 3, 4, 5, 6, 7, 8\} \) - \( W = \{1, 4, 6\} \) - \( X = \{2, 4, 5, 8\} \) #### Explanation of the Diagram The Venn diagram consists of a rectangular area representing the universal set \( U \). Inside this rectangle, there are two overlapping circles. - The left circle, labeled \( W \), is drawn in red and represents the set \( W = \{1, 4, 6\} \). - The right circle, labeled \( X \), is drawn in blue and represents the set \( X = \{2, 4, 5, 8\} \). The overlapping region of the circles represents the intersection of sets \( W \) and \( X \), which in this case contains the element \{4\}. The numbers on the left (1, 2, 3, 4, 5, 6, 7, 8) can be dragged into the Venn diagram to place them within the relevant circles: - Numbers exclusive to \( W \) go only in the left circle. - Numbers exclusive to \( X \) go only in the right circle. - Numbers common to both sets \( W \) and \( X \) go in the overlapping section. - Numbers not in either set can be placed outside the circles but within the rectangle of \( U \). #### Additional Visualization Below the diagram, there are smaller graphical representations showing different configurations for Venn diagrams depending on the overlap and inclusion of sets. This provides a visual guide to understanding how sets relate to one another within Venn diagrams.
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