Topic #1: Sets & Venn Diagrams1. Suppose a universal set consists of the multiples of 3 that are no more than 36. Two subsets arecreated from the universal set; Set A contains the even numbers, and Set B contains numbersthat are greater than 15. Complete the Venn diagram to the left, then list the elementsin each set.a) UUBb) Ac) BCASADOd) A'e) B'f) ANBg) AUB

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Answered: Topic #1: Sets & Venn Diagrams 1.…

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

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Let A = {Becca, Darius, Julian, Larry, Solly, Bess}, B = {Larry, Solly, Darius}, and C = {Mellie, Sally, Molly, Jeffrey, Larry}. Find the given set. (An B) UC Step 1 We are given the following sets. Our goal is to find the set (A n B) U C. Therefore, we will use all three sets all three sets to determine our answer. We will start by finding An B which is the intersection of A and B. Recall that the intersection of A and B is a set of all elements that are common to both sets. Determine which of the following elements should be included in the set A n B. That is, determine which of these elements are in both A and B. (Select all that apply.) ооооооо Becca Bess Darius Jeffrey Julian A = {Becca, Darius, Julian, Larry, Solly, Bess} B = {Larry, Solly, Darius} C = {Mellie, Sally, Molly, Jeffrey, Larry} Larry Mellie Molly Sally Solly
2. Shade the portion using a Venn Diagram that represents the set. (A' U B)'n C
This Venn diagram represents areas for students who like different subjects in all combinations List all areas (in an ascending order) that represent students who like the following:(For example for students who like History you need to put 4,5,6,7 No spaces between symbols.) a) like Math only b) like English and History c) Do not like Math d) Like Math or History e) Like English and History, but do not like Math f) Like Math or English, but do not like History
Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set. (a) Roster form: {-1,0,1,2,3,4} ... Set-builder form: (Choose one) (b) Set-builder form: {y y is an integer and y2 -2) Roster form: Explanation Check O 2021 McGraw-Hill Education. All Rights Rese O Type here to search 23 esc 2 prt sc %23 & 4. 6. 8. 9. T Y. caps lock G H. J. hift ↑ V. pause fn alt alt ctrl SI A)
A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4 times the size of A and C is 3 times the size of B, then how many elements are in B?
Determine whether the following pair of sets is equivalent. Justify your answer. {a, b, c, d,.., z} and {1, 2, 3, 4,.., 26} Are the sets equivalent? A. No, the two sets have a different number of elements. O B. No, the two sets do not have any of the same elements. C. Yes, both sets have the same number of elements. OD. Yes, both sets are subsets of larger sets.
In the following Venn diagram, U is the set of students in a class, A is the set of students who play soccer, and B is the set of students who play baseball. Determine how many students play soccer or baseball. Venn DiagramA Venn diagram with a rectangle labeled U containing two overlapping circles labeled A and B. The area where the two circles overlap contains Dan, Max; the area for A only contains Faye, Sue, Tye; the area for B only contains Ada, Kate, Sam, Tim; and the area outside of both circles contains Ann, Bob, Eli, Jill, Liam, Paul.UAnnBobEliJillLiamPaulAFayeSueTyeDanMaxBAdaKateSamTim
Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 40 and 124 that are multiples of 9. A. (Type whole numbers. Use a comma to separate answers as needed.) B. The set has no members.
6. Write the following sets in set builder notation. Use symbols whenever possible. a. {3, 4, 5, 6, ...} Tip: this set starts at 3, then keeps on going and going (it doesn't end at 6) b. {..., 2, 3, 4} Tip: this set stops at 4, but it keeps going to all numbers below 4. c. {1, 4, 9, 16, 25, 36, ...} Tip: this is a special type of figurate number you can describe in words.

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