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1. Draw Venn Diagrams for these sets. (a) Cn(B- A) (b) A- (BUC) 2. For each of the it is

1. Draw Venn Diagrams for these sets. (a) Cn(B- A) (b) A- (BUC) 2. For each of the it is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**1. Draw Venn Diagrams for these sets:** (a) \( C \cap (B - A) \) (b) \( A - (B \cup C) \) **Explanation:** - **Venn Diagram for \( C \cap (B - A) \):** - This diagram represents the intersection of set \( C \) with the elements of set \( B \) that are not in set \( A \). - Visualize a Venn Diagram with three circles representing sets \( A \), \( B \), and \( C \). Highlight the area inside \( C \) that overlaps with \( B \) but excludes the overlap with \( A \). - **Venn Diagram for \( A - (B \cup C) \):** - This diagram represents the elements in set \( A \) that are not in the union of sets \( B \) and \( C \). - In a Venn Diagram with three circles for sets \( A \), \( B \), and \( C \), shade the part of set \( A \) that does not overlap with either set \( B \) or \( C \). These diagrams help visualize complex set relationships and operations like intersection, union, and set difference.
Transcribed Image Text:**1. Draw Venn Diagrams for these sets:** (a) \( C \cap (B - A) \) (b) \( A - (B \cup C) \) **Explanation:** - **Venn Diagram for \( C \cap (B - A) \):** - This diagram represents the intersection of set \( C \) with the elements of set \( B \) that are not in set \( A \). - Visualize a Venn Diagram with three circles representing sets \( A \), \( B \), and \( C \). Highlight the area inside \( C \) that overlaps with \( B \) but excludes the overlap with \( A \). - **Venn Diagram for \( A - (B \cup C) \):** - This diagram represents the elements in set \( A \) that are not in the union of sets \( B \) and \( C \). - In a Venn Diagram with three circles for sets \( A \), \( B \), and \( C \), shade the part of set \( A \) that does not overlap with either set \( B \) or \( C \). These diagrams help visualize complex set relationships and operations like intersection, union, and set difference.
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