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Shade in the area corresponding to each expression. In each case, A is the left circle and B is the right circle. You may need to construct your answer in steps. a. (A'n B') b. (An B') U (A'n B)

Shade in the area corresponding to each expression. In each case, A is the left circle and B is the right circle. You may need to construct your answer in steps. a. (A'n B') b. (An B') U (A'n B)

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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### Venn Diagram Shading Exercise #### Instructions: Shade in the area corresponding to each expression. In each case, \( A \) is the left circle and \( B \) is the right circle. You may need to construct your answer in steps. #### Diagrams and Expressions: **a. \( A' \cap B' \)** - Description: This represents the complement of \( A \) and the complement of \( B \). The shaded area should include everything outside both circles. **b. \( (A \cap B') \cup (A' \cap B) \)** - Description: This represents the union of two regions: - \( A \cap B' \): The part of circle \( A \) that is not shared with circle \( B \). - \( A' \cap B \): The part of circle \( B \) that is not shared with circle \( A \). Both parts should be shaded. **c. \( A' \cup B' \)** - Description: This represents the union of the complement of \( A \) and the complement of \( B \). The shaded area should include everything outside one or both of the circles (the non-overlapping parts outside either circle). **d. Only \( A \)** - Description: This indicates only the left circle \( A \). The shaded area should include only the area inside circle \( A \) that does not overlap with circle \( B \). #### Visual Representations: Each part illustrated is a Venn diagram demonstrating the instructions above: - **a.** Shows a rectangle containing two overlapping circles with the area outside both circles shaded. - **b.** Shows a rectangle with two overlapping circles with two separate areas shaded: the portion of the left circle \( A \) that does not overlap with \( B \), and the portion of the right circle \( B \) that does not overlap with \( A \). - **c.** Shows a rectangle with two overlapping circles where the area outside both circles is shaded. - **d.** Shows a rectangle with two overlapping circles where only the part of the left circle \( A \) not overlapping with the right circle \( B \) is shaded.
Transcribed Image Text:### Venn Diagram Shading Exercise #### Instructions: Shade in the area corresponding to each expression. In each case, \( A \) is the left circle and \( B \) is the right circle. You may need to construct your answer in steps. #### Diagrams and Expressions: **a. \( A' \cap B' \)** - Description: This represents the complement of \( A \) and the complement of \( B \). The shaded area should include everything outside both circles. **b. \( (A \cap B') \cup (A' \cap B) \)** - Description: This represents the union of two regions: - \( A \cap B' \): The part of circle \( A \) that is not shared with circle \( B \). - \( A' \cap B \): The part of circle \( B \) that is not shared with circle \( A \). Both parts should be shaded. **c. \( A' \cup B' \)** - Description: This represents the union of the complement of \( A \) and the complement of \( B \). The shaded area should include everything outside one or both of the circles (the non-overlapping parts outside either circle). **d. Only \( A \)** - Description: This indicates only the left circle \( A \). The shaded area should include only the area inside circle \( A \) that does not overlap with circle \( B \). #### Visual Representations: Each part illustrated is a Venn diagram demonstrating the instructions above: - **a.** Shows a rectangle containing two overlapping circles with the area outside both circles shaded. - **b.** Shows a rectangle with two overlapping circles with two separate areas shaded: the portion of the left circle \( A \) that does not overlap with \( B \), and the portion of the right circle \( B \) that does not overlap with \( A \). - **c.** Shows a rectangle with two overlapping circles where the area outside both circles is shaded. - **d.** Shows a rectangle with two overlapping circles where only the part of the left circle \( A \) not overlapping with the right circle \( B \) is shaded.
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