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Q15C. Define the sets A, B, C, and D as follows: A={yEZ:2

Q15C. Define the sets A, B, C, and D as follows: A={yEZ:2

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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**Q15C. Define the sets A, B, C, and D as follows:** - \( A = \{ y \in \mathbb{Z} : 2 < y \leq 9 \text{ and } y \text{ is odd} \} \). - \( B = \{ 1, 4, 6 \} \). - \( C = \{ y \in \mathbb{Z} : y \leq 10, y \text{ is even, and } y \text{ is positive} \} \). - \( D = \{ y \in \mathbb{Z} : y \leq 7 \text{ and } y \text{ is positive} \} \). - \( E = \{ -3, -1, 0, 5 \} \). **Find \( C \cup D \).** *Express the set using roster notation and with values ordered smallest to largest, such as \(\{-10, -3, 1, 6\}\) (braces and commas are required; a space after each comma is also required).*
Transcribed Image Text:**Q15C. Define the sets A, B, C, and D as follows:** - \( A = \{ y \in \mathbb{Z} : 2 < y \leq 9 \text{ and } y \text{ is odd} \} \). - \( B = \{ 1, 4, 6 \} \). - \( C = \{ y \in \mathbb{Z} : y \leq 10, y \text{ is even, and } y \text{ is positive} \} \). - \( D = \{ y \in \mathbb{Z} : y \leq 7 \text{ and } y \text{ is positive} \} \). - \( E = \{ -3, -1, 0, 5 \} \). **Find \( C \cup D \).** *Express the set using roster notation and with values ordered smallest to largest, such as \(\{-10, -3, 1, 6\}\) (braces and commas are required; a space after each comma is also required).*
**Question 16C**: Define the sets A and B as shown. **Find A - B.** In the diagram, two sets A and B are represented as overlapping circles in a Venn diagram. - **Set A** contains the elements: c, w, p, a, s, m. - **Set B** contains the elements: a, s, m, g, f, h. - The intersection of sets A and B (shared area) contains the elements: a, s, m. To find **A - B** (the relative complement of B in A), we identify the elements that are in A but not in the intersection of A and B. **Elements in A - B**: c, w, p. *Express the set using roster notation, and with letters ordered alphabetically.* So, **A - B** = {c, p, w}. (Braces and commas are required; a space after each comma is also required.)
Transcribed Image Text:**Question 16C**: Define the sets A and B as shown. **Find A - B.** In the diagram, two sets A and B are represented as overlapping circles in a Venn diagram. - **Set A** contains the elements: c, w, p, a, s, m. - **Set B** contains the elements: a, s, m, g, f, h. - The intersection of sets A and B (shared area) contains the elements: a, s, m. To find **A - B** (the relative complement of B in A), we identify the elements that are in A but not in the intersection of A and B. **Elements in A - B**: c, w, p. *Express the set using roster notation, and with letters ordered alphabetically.* So, **A - B** = {c, p, w}. (Braces and commas are required; a space after each comma is also required.)
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