Homework Help is Here – Start Your Trial Now!
Math
Geometry
Learning Task A. Write the elements in each set, then, create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 20. U = A is the set of multiples of 4. A = { B is the set of multiples of 5. B = { Cis the set of even numbers C= { VENN DIAGRAM (5points) 1. AnB = 2. AUB= 3. Anc = 4. AUC= 5. A'U B' = 6. AnBnC =

Learning Task A. Write the elements in each set, then, create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 20. U = A is the set of multiples of 4. A = { B is the set of multiples of 5. B = { Cis the set of even numbers C= { VENN DIAGRAM (5points) 1. AnB = 2. AUB= 3. Anc = 4. AUC= 5. A'U B' = 6. AnBnC =

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
100%

Please answer thank you:>

What Is A Venn Diagram? It is a pictorial representation of the relationships between sets. In a Venn diagram, the sets are represented by shapes; usually circles or ovals. The elements of a set are labeled within the circle. What Is Universal Set? The set of all elements being considered is called the Universal Set (U) and is represented by a rectangle. Set Operations and Venn Diagram The following diagrams show the set operations and Venn Diagrams for Complement of a Set, Disjoint Sets, Subsets, Intersection and Union of Sets. Scroll down the page for more examples and solutions. • The complement of A, in symbol = A', is the set of elements in U but not in A. A' ={x | x € U and x € A} Set A A' the complement of A • Sets A and B are disjoint sets it they do not share any common elements. • Bis a proper subset of A. This means B is a subset of A, but B = A. A and B are disjoint sets Bis proper BcA subset of A • The intersection of A and B is the set of elements in both set A and set B. AnB • The union of A and B is the set of elements in set A or set B. A U B Both A and B ANB Either A or B A union B AUB A intersect 8 Illustrative Example 1: Create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 15. A is the set of multiples of 3. Bis the set of even numbers. Cis the set of odd numbers. U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} A = (3, 6, 9, 12, 15} B = (2, 4, 6, 8, 10, 12,14} C= (1,3, 5, 7, 9, 11, 13, 15} Answer: = {6, 12} the numbers that are both in set A and B AUB = (2,3,4,6,8,9,10,12,14,15} the numbers that are in set A or B Anc = (3,9,15} the numbers that are both in set A and C AUC = {1,3,5,6,7,9,11,12,13,15} the numbers that are in set A or C. B and Care disjoint sets if they do not share any common elements. AnB %3D 4 8 10 14 1 7 11, = (1,3,5,7,9,11,13,15} all the numbers/elements that are not in set B. = (1,2,4,5,7,8,10,11,13,14} all the numbers/elements that are not in set A = (2,4,6,8,10,12,14} all the numbers/elements that are not in set C B' 13 A' C'
Transcribed Image Text:What Is A Venn Diagram? It is a pictorial representation of the relationships between sets. In a Venn diagram, the sets are represented by shapes; usually circles or ovals. The elements of a set are labeled within the circle. What Is Universal Set? The set of all elements being considered is called the Universal Set (U) and is represented by a rectangle. Set Operations and Venn Diagram The following diagrams show the set operations and Venn Diagrams for Complement of a Set, Disjoint Sets, Subsets, Intersection and Union of Sets. Scroll down the page for more examples and solutions. • The complement of A, in symbol = A', is the set of elements in U but not in A. A' ={x | x € U and x € A} Set A A' the complement of A • Sets A and B are disjoint sets it they do not share any common elements. • Bis a proper subset of A. This means B is a subset of A, but B = A. A and B are disjoint sets Bis proper BcA subset of A • The intersection of A and B is the set of elements in both set A and set B. AnB • The union of A and B is the set of elements in set A or set B. A U B Both A and B ANB Either A or B A union B AUB A intersect 8 Illustrative Example 1: Create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 15. A is the set of multiples of 3. Bis the set of even numbers. Cis the set of odd numbers. U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} A = (3, 6, 9, 12, 15} B = (2, 4, 6, 8, 10, 12,14} C= (1,3, 5, 7, 9, 11, 13, 15} Answer: = {6, 12} the numbers that are both in set A and B AUB = (2,3,4,6,8,9,10,12,14,15} the numbers that are in set A or B Anc = (3,9,15} the numbers that are both in set A and C AUC = {1,3,5,6,7,9,11,12,13,15} the numbers that are in set A or C. B and Care disjoint sets if they do not share any common elements. AnB %3D 4 8 10 14 1 7 11, = (1,3,5,7,9,11,13,15} all the numbers/elements that are not in set B. = (1,2,4,5,7,8,10,11,13,14} all the numbers/elements that are not in set A = (2,4,6,8,10,12,14} all the numbers/elements that are not in set C B' 13 A' C'
Learning Task A. Write the elements in each set, then, create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 20. U = { A is the set of multiples of 4. A = {_ B is the set of multiples of 5. B = {_ C is the set of even numbers C= { VENN DIAGRAM (5points) 1. AnB = 2. AUB = 3. Anc = 4. AUC = 5. A'U B' = 6. AnBnC =
Transcribed Image Text:Learning Task A. Write the elements in each set, then, create a Venn Diagram to show the relationship among the sets. U is the set of whole numbers from 1 to 20. U = { A is the set of multiples of 4. A = {_ B is the set of multiples of 5. B = {_ C is the set of even numbers C= { VENN DIAGRAM (5points) 1. AnB = 2. AUB = 3. Anc = 4. AUC = 5. A'U B' = 6. AnBnC =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS