**Venn Diagram Construction for Sets****Objective:**Construct a Venn diagram illustrating the following sets:- \( U = \{1, 2, 3, 4, 5, 6, 7, 8\} \)- \( Y = \{1, 4, 6\} \)- \( Z = \{2, 4, 5, 8\} \)**Diagram Explanation:**The diagram contains a rectangular box labeled \( U \) which represents the universal set. Within this box:- A red circle labeled \( Y \) represents set \( Y \).- A blue circle labeled \( Z \) represents set \( Z \).**Overlap and Elements:**- **Intersection (shared elements):** The area where the red and blue circles overlap contains the element 4, which is common to both sets \( Y \) and \( Z \).- **Unique to \( Y \):** Elements 1 and 6 are in the red circle outside of the overlap.- **Unique to \( Z \):** Elements 2, 5, and 8 are in the blue circle outside of the overlap. **External Elements:**- Elements 3 and 7 lie outside both circles, representing members of the universal set \( U \) that are not part of sets \( Y \) or \( Z \).This Venn diagram visually demonstrates how the elements are distributed across the different sets and their intersections.

Given U=1 , 2 , 3 , 4 , 4, 5 , 6 , 7 , 8 Y=1, 4 , 6Z=2 , 4 , 5 , 6clearly Y∩Z= 4

Answered: Construct a Venn diagram illustrating…

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

Similar questions

Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B= (2, 4, 6, 8, ...) O B. B=(2) O C. B= (2, 4, 6, 8} O D. B= (4, 6, 8, 10, ..) O E. B=(4, 6, 8, 10} OF B=(2, 4, 6, 8, 200} O G. B=Ø
E = {2, 4, 6, 10} is a subset of which of the following sets? A = {1, 2, 4, 7, 10, 11, 9, 6} B = {2, 4, 6} D = {4, 6, 8, 10, 12,...} C = {1, 2, 3, 4, 5, 7, 8, 9, 10}
K Let U = {a,b,c,d,e,f,8,9,10,11,12,13}, X = {a,b,c,10,11,12}, Y = {b,d,f,9,11,13), and Z= {b,d,11,12,13). Which pairs of sets are disjoint? Choose the correct answer below. OA. The sets X and Y OB. The sets X and Y and the sets X and Z OC. The sets Y and Z OD. None of the sets are disjoint.
See picture
DIRECTIONS: If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C = {f, g, h}; and D = {a, e, g, i}. List the elements of the following sets. A Ռ B ____________________________________________________________________ A’ U D ___________________________________________________________________ A Ռ U ___________________________________________________________________ (C U B)’ _________________________________________________________________ (A U B) Ռ (C U D) __________________________________________________________ B’ U (C ~ A)’ ______________________________________________________________ (D Ռ Ø) U A _______________________________________________________________ A Φ B ____________________________________________________________________ Note: Φ – symmetric difference, no available symbol C Φ D ___________________________________________________________________ (A ~ C) Ռ (B Φ D) _________________________________________________________ B’ U C’…
Let Y be the following set: Y = {2,4,7} Which of the sets given below equal to Y? Select all that apply. O{2, 2, 4, 4, 7} {2,4,7,8} O{2,2,2,7,7} O{7, 4, 2}
Let A = {6,7,8} and B = {5,7}. Find A x B. %3D Choose th correct set. O A. {(5,6),(5,7),(5,8),(7,6),(7,7),(7,8)} O B. (30,42,35,49,40,56} OC. {(6,5),(6,7),(7,5),(7,7).(8,5),(8,7)} O D. {(6,5),(6,7).(7,5),(7,7),(8,5),(8,7),(5,6),(5,7),(5,8),(7,6),(7,7).(7,8)}
3. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6} and D = {4, 6, 8}. Determine which of these sets are subsets of which other of these sets. Write your answers using the notation for subset. 4. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {2, 2, 6, 2, 6}, D = {8, 6, 4}, and E = {8}. Determine which of these sets are proper subsets of which other of these sets. Write your answers using the notation for proper subset.
pleasr answer all parts
Express the set in roster form. B = {x | xEN and x ≥ 3} Choose the correct answer below. O A. B={4, 5, 6, 7} O B. B = {4, 5, 6, 7, ...} O C. B={3} O D. B=(3, 4, 5, 6, ...} OE. B=(3, 4, 5, 6} OF. B=(3, 4, 5, 6, ..., 100} OG. B=Ø

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8} Y={1,4, 6} Z3{2,4,5,8}