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The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B) n C' on the Venn diagram. U B

The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B) n C' on the Venn diagram. U B

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The Venn diagram shows sets \( A \), \( B \), \( C \), and the universal set \( U \). Shade \( (A' \cup B) \cap C' \) on the Venn diagram. **Diagram Explanation:** The diagram consists of a rectangle that represents the universal set \( U \). Inside this rectangle, there are three overlapping circles labeled as sets \( A \), \( B \), and \( C \). - **Set \( A \)** is represented by the leftmost circle. - **Set \( B \)** is represented by the top-right circle. - **Set \( C \)** is represented by the bottom-right circle. The task is to shade the region representing the expression \( (A' \cup B) \cap C' \): - \( A' \) represents the complement of set \( A \), which includes everything outside of circle \( A \). - \( B \) is the set represented by circle \( B \). - \( A' \cup B \) means the union of \( A' \) and \( B \), including all areas inside circle \( B \) and outside circle \( A \). - \( C' \) represents the complement of set \( C \), which includes everything outside of circle \( C \). The intersection \( (A' \cup B) \cap C' \) includes all the regions that are both in \( A' \cup B \) and outside \( C \). These regions need to be shaded on the Venn diagram.
Transcribed Image Text:The Venn diagram shows sets \( A \), \( B \), \( C \), and the universal set \( U \). Shade \( (A' \cup B) \cap C' \) on the Venn diagram. **Diagram Explanation:** The diagram consists of a rectangle that represents the universal set \( U \). Inside this rectangle, there are three overlapping circles labeled as sets \( A \), \( B \), and \( C \). - **Set \( A \)** is represented by the leftmost circle. - **Set \( B \)** is represented by the top-right circle. - **Set \( C \)** is represented by the bottom-right circle. The task is to shade the region representing the expression \( (A' \cup B) \cap C' \): - \( A' \) represents the complement of set \( A \), which includes everything outside of circle \( A \). - \( B \) is the set represented by circle \( B \). - \( A' \cup B \) means the union of \( A' \) and \( B \), including all areas inside circle \( B \) and outside circle \( A \). - \( C' \) represents the complement of set \( C \), which includes everything outside of circle \( C \). The intersection \( (A' \cup B) \cap C' \) includes all the regions that are both in \( A' \cup B \) and outside \( C \). These regions need to be shaded on the Venn diagram.
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